The duo played together at Southampton during the 80s but Wright remains fully focused on getting a result at Gigg Lane.
He told the Chester Evening Leader: "Alan was a youngster when I was down at Southampton. He has done ever so well to put a good side together at Bury and they have done really well to get where they are in the league.
"But he's been allowed to build his squad and he has had a whole season to build. I came to Chester when the chips were down and I've not been able to bring any players in but players have gone so it's a totally different scenario to Bury.
"I just wish Alan Knill all the best at Bury but I hope we can go there on Saturday and get three points because that's what we need for survival.
"If we could bring in a few new acquisitions I know we'd be ok but the reality is that we can't. We'll go to Bury and dig in with what we've got. I just hope we don't pick up any injuries or illnesses this week so then at least we'll be able to put out the side that faced Grimsby."