1. "Pull it" is not even a common term for the explosive demolition of a building.
Brett Blanchard, from implosionworld.com explains:
We have never once heard the term "pull it" being used to refer to the explosive demolition of a building, and neither has any blast team we've spoken with. The term is used in conventional demolition circles, to describe the specific activity of attaching long cables to a pre-weakened building and maneuvering heavy equipment (excavators, bulldozers, etc.) to "pull" the frame of the structure over onto its side for further dismantlement." http://www.jod911.com/WTC%20COLLAPSE%20STUDY%20BBlanchard%208-8-06.pdf
Popular Mechanics addresses this same issue on page 57:
Four demolition and engineering experts tell Popular Mechanics that pull it is not slang for controlled demolition. "I've never heard of it," says Jon Magnusson of Magnusson Klemencic Associates.
Ron Dokell, retired president of Olshan Demolishing Company, says the same thing. Mark Loizeaux of Controlled Demolition, Inc. adds that the only way he can imagine the term being used is in reference to a process where the legs of a structure are precut and attached to cables, and then large machines are used to literally pull the building to the ground.
From a video of the demolition of WTC 6:
Worker #1: Oh, we’re getting ready to pull building six. Luis Mendes: We have to be very careful how we demolish building six. We were worried about the building six coming down and demolishing the slurry wall, so we wanted that particular building to fall within a certain area.
Worker #1: We’ve got the cables attached in four different locations... <going>... Now they’re pulling [gestures to vehicles] pulling the building to the north. It’s not every day you try to pull down a eight story building WITH CABLES” (emphasis added)
2. Larry Silverstein's comment about "pulling it" was different though. He later clarified through his spokesperson:
"In the afternoon of September 11, Mr. Silverstein spoke to the Fire Department Commander on site at Seven World Trade Center. The Commander told Mr. Silverstein that there were several firefighters in the building working to contain the fires. Mr. Silverstein expressed his view that the most important thing was to protect the safety of those firefighters, including, if necessary, to have them withdraw from the building."
3. That explanation has lots of corroboration. In their words: "they pulled us out".
"Pull it" meant get the rescue workers out of the building because it was about to fall down. They were in the building contrary to some people claim. Look at the Firefighters' accounts quoted in the NY Times just after the attacks:
---NEW YORK TIMES----
Firefighter Richard Banaciski was in the Verizon Building, adjacent to WTC7. "Finally they pulled us out. They said all right, get out of that building because that 7, they were really worried about. They pulled us out of there and then they regrouped everybody on Vesey Street." 
FDNY Captain Ray Goldbach:
"I'm going to guess it was after 3:00...we walked all the way back down to Vesey Street. There was a big discussion going on at that point about pulling all of our units out of 7 World Trade Center. Chief Nigro didn't feel it was worth taking the slightest chance of somebody else getting injured. So at that point we made a decision to take all of our units out of 7 World Trade Center because there was a potential for collapse." 
Email from Daniel Nigro, Chief of Department FDNY (ret):
Regarding WTC 7: The long-awaited US Government
report on the collapse of WTC 7 is due to be
published at the end of this year (although it
has been delayed already a few times [ adding
fuel to the conspiracy theorists fires!]). That
report should explain the cause and mechanics of
the collapse in great detail. Early on the
afternoon of September 11th 2001, following the
collapse of WTC 1 & 2, I feared a collapse of WTC 7 (as did many on my staff).
The reasons are as follows:
1 - Although prior to that day high-rise
structures had never collapsed, The collapse of
WTC 1 & 2 showed that certain high-rise
structures subjected to damage from impact and from fire will collapse.
2. The collapse of WTC 1 damaged portions of the lower floors of WTC 7.
3. WTC 7, we knew, was built on a small number of
large columns providing an open Atrium on the lower levels.
4. numerous fires on many floors of WTC 7 burned
without sufficient water supply to attack them.
For these reasons I made the decision (without
consulting the owner, the mayor or anyone else -
as ranking fire officer, that decision was my
responsibility) to clear a collapse zone
surrounding the building and to stop all activity
within that zone. Approximately three hours after
that order was given, WTC 7 collapsed.
Conspiracy theories abound and I believe firmly
that all of them are without merit.
Regards, Dan Nigro
Chief of Department FDNY (retired)