Skipper Scott Brown would welcome Sol Campbell to Celtic should the veteran choose to move north.
The 35-year-old Arsenal defender has revealed he is 'seriously considering' making a move to Parkhead after holding talks with interim Celtic boss Neil Lennon.
Brown believes the former England international would bring a lot of experience to the Hoops' defence, although he concedes a permanent manager has to be in place before the club can make signings.
He said: "I think it's important to get a manager in place before we sign anyone but I'm sure there will be a few big names coming in as well.
"Yes, his experience would really help.
"He has played in the Champions League final and won Premier Leagues with Arsenal so it would help us at the back.
"We can attract big people, we are a big club, so the bigger the better for us."
Brown hopes that interim boss Lennon will be given the job on a permanent basis - and quickly - after overseeing eight successive SPL wins.
He said: "I think we all hope so, because of the job he has done in the last eight games.
"It's the best form we've hit in two years so he deserves a chance.
"He has done everything he possibly can and it shows that we have fighting spirit left in us.
"I'm sure the club will have it sorted out by 1st July so the club can go flying into pre-season.
"It's up to the club but it would help us, we would know where we stood.
"But we are quite relaxed and quite open about it and whatever the board decides we will be happy."
Brown was also relaxed with the fact that Walter Smith, who captured his second successive SPL title for Rangers last season, has signed a new one-year deal.
He said: "It's not up to us what happens (at Rangers).
"We have to go out and play our own game and hopefully we can have a better season this year than we did last year.
"I think by the end of the season the team spirit was better. We brought in a lot of players and it was hard for us when they first came in.
"But we have started to gel. We don't want to be known as unlucky all the time, getting beaten in finals or not making it to finals.
"We are here to win as many trophies as we possibly can and that's what we look forward to doing."
Out-of-contract Rangers striker Kris Boyd has also been linked with a move to Parkhead, a story which has been categorically denied by Celtic.
Commenting on the speculation, Brown added: "I heard about it but I don't really know what's happening to be fair and I'm sure no-one will be coming in until we get a new manager.
"But it happens sometimes. Kenny Miller has done it so you never know what could happen.
"I'm sure Kenny found it hard at the start but he has done really well and he did really well at Celtic.
"He has been a great player and wherever you go, you try to give 100 per cent."