Rodgers is favourite to replace Ange Postecoglou as Celtic boss following the Greek-born Australian’s departure to Tottenham.
The former Liverpool manager has previously stated he would be open to a return to Celtic Park if the timing was right, but accepted he might not be welcomed by fans who were hurt by the manner of his sudden exit to Leicester in February 2019 after winning seven domestic trophies out of seven.
There are reports that Rodgers would prefer a longer break after losing his job as Foxes manager in early April but talk of a return is lingering.
“If Celtic have got the option to bring him back, I would in a heartbeat, I really would,” Wilson said.
“Brendan Rodgers is a top-tier manager, his history shows that. You don’t get the Liverpool job if you’re not a top-tier manager, you don’t get the success in Glasgow he had if you’re not a top-class manager.
“He had a style of football here that the supporters and players bought into, possession-based. It was terrific to watch and it yielded trophies, year after year.
“Of course the baggage he has with some Celtic fans, the way he left, would be hard to dissolve. But football is a results-driven business and if he came back and started well, and there were a few good signings in the door, I think a lot of that bad feeling would quickly evaporate.”
Postecoglou’s departure days after clinching the treble has impacted some Celtic fans in similar fashion.
“It’s where are in the world of football,” Wilson said. “We are here in the Scottish Premiership, which is a fantastic league, entertaining, we all love it.
“But when you are just across the border from the richest league in the world, really anybody that is successful here is going to go to England.
“I know we hate saying it but the resources and the lure of the English Premier League is too much for our players, managers and chairmen who get offers for players. Managers are no different.
“When their stock is as high as Ange Postecoglou’s, and you get offered a job like Spurs, how can you blame anyone for going south of the border?”
Wilson was promoting the Glasgow European Capital of Sport 2023 Refugee Football Tournament, which will feature players from more than 50 nations at Toryglen Regional Football Centre on July 2.
“It’s an outstanding initiative, it gives everybody the opportunity to play, particularly in Glasgow where we are so diverse,” he said.
“And the football pitch brings everybody together, it doesn’t matter their race, religion, background, ethnicity, to have this tournament to bring all parties together, is going to be a fantastic occasion.
“I do a lot of work in Glasgow myself with charities and we have a lot of participants who are refugees, young refugees, and they can get signposted to the next level.”