Coutinho, who just won the Champions League with Bayern, is on the market. And Barnes thinks a Premier League club will snap him up.
"I know in England it never happens where a player can play against his parent club once they are out on loan. But in Europe it happens all the time (Coutinho playing against Barcelona for Bayern)," Barnes told BonusCodeBets.
"Normally you don't play against them in the league, but it can happen in the Champions League.
"They didn't anticipate that they would come up against each other. They must have left it out of the contract.
"It is an exciting watch with what is going to happen with Philippe Coutinho this summer. There are many teams that will want to sign him.
"I don't think Tottenham would be interested. I don't know if the way that Jose Mourinho likes to play will suit him.
"He [Coutinho] likes the ball and having a lot of possession, whereas Mourinho doesn't necessarily play that way."
He went on to say: "Arsenal could be the best club with the style of football they play.
"I don't think he will go to Manchester City to be honest. Pep Guardiola would be able to get the best out of him but there are often times that he has been in a successful team already, and he hasn't been able to show off as much as he would like."