Former Wigan, Tottenham and Sunderland defender Chimbonda, without a Football League club since leaving Doncaster last year, is currently on trial at Brunton Park.
"I played with Pascal at Wigan and Sunderland and he's a big character," Kavanagh told the club's official website.
"He's had a very good career and, if I'm honest, I thought he'd have gone on and done even bigger and better things. He definitely had the potential to do that.
"I wanted to get him in the building to see what he's like physically and he is always in great shape.
"We did some testing on Tuesday, which he did really well with, and especially when you consider he hasn't been training to the levels we train at for quite a while now.
"He does need to get right back up to speed but we'll work on that with him. We haven't made a decision on where we want to go with it yet but, if it's working, and if we can agree a deal, then that's great.
"That might not be the case because I don't want to commit to saying we are or aren't going to sign him."