The 26-year-old has been arguably the Shots' most consistent outfield player since the start of the season, but like so many others in the squad, is out on contract at the end of the season.
Crittenden has been heavily linked with a move to Exeter City and it is believed the pacy winger has impressed Alex Inglethorpe.
Despite this, Brown insists the club want key man Crittenden to stay on at the Recreation Ground.
“We have had a couple of enquiries about Nick, but he is not a player that we want to move on. He is an integral part of not just the squad but the side because he plays every week.
“I'm not under pressure to get any of my players out except the ones I want to move on and we have established who they are,” said Brown.
With Ahmed Deen already off having signed for Ryman Premier side Fisher Athletic, Brown is also hoping that Tarkan Mustafa will soon be joining another club, while Tobi Jinadu has returned to training ahead of a possible move away.
All the out-goings are not however standing in the way of in-comings as Brown continues to work hard to strengthen the squad at the back as well as the front.
“We are trying to get Brett Johnson back to the club, but when you've been in management a while you know you've never really got someone until they have signed.
“It's very, very hard work, and I'm working constantly to get players in a deals done,” added Brown.
Having the Woking match cancelled may also have come as a blessing as Brown continued, “It gives me a bit of breathing space as it's not likely I'll have anyone in today (Monday).
“It still gives the injured boys a chance to come back and means that Darren Barnard and Steve Watson will be missing this Saturday.”
Meanwhile, Tim Sills has admitted he is flattered and tempted by the interest of Leyton Orient — but remains committed to the Aldershot cause in the meantime.
The 10-goal striker has been a top target of the League Two high-flyers this month, and after their FA Cup success swelled their coffers, it is hoped they will put in a decent offer.
The Shots are believed to be holding out for at least £50,000 for the free-scoring Sills as they plan to replace him with either two or three front-runners capable of hoisting them into the end-of-season play-offs.
Indeed, Shots boss Terry Brown admits they are expecting an offer this week for the striker, in the region of their asking price.
“We are expecting an offer for Tim, but we are not in a position to let him go until we have got strikers in.
“I've been searching for one striker all year, I'm not about to start searching for two, so I can't let him go until we've got players in, but we are keeping Tim informed,” said Brown.
Facing an uncertain future, Sills said: "There is a lot of speculation at the moment. Aldershot have let me know that Orient are interested but beyond that I haven't heard anymore.
"It's a case of focusing on the job I've got to do here and until I'm told otherwise, that's what I'll do."
With thanks to the Aldershot News.