Liverpool manager Jurgen Klopp and Bayern Munich boss Jupp Henyckes have both discussed Emre Can.
Can’s contract at Liverpool expires in the summer, and talks to extend his deal at Anfield have stalled.
Bayern are one of a number of clubs thought to be interested in a player who left the Allianz Arena in 2013.
“There’s always certain criteria when you’re signing a player,” Heynckes said. “I only had Emre Can for a few months.
“He is a good, young player who has developed well – he is dynamic and powerful.
“In my opinion, if Bayern want to play a dominant role in the Champions League again, we must have suitable players for every position,” he added.
“The most important thing for me is that the player’s footballing concept meets our extremely high level. Not just his physical attributes and speed. There are many factors that play a role and everyone has different criteria. Not to forget, the player’s character is important. He must also be a team player with social skills.
“He doesn’t just have to fit on a sporting level. There is 20-24 young people together, they have to get on and respect each other, and their ego has to take a back seat. Therefore, the player’s character and behaviour is most important for new signings.”
Klopp also spoke about the midfielder on Friday.
“There’s nothing new,” he said, despite reports to the contrary. “I said it a few times – and it’s no problem to repeat it – it’s our job to make this club as exciting as possible. That’s how it is.
“It’s also allowed to sign a contract in May, even with a player who is still already here. I have no problem with that.”
Can is free to talk to other non-Premier League clubs in January, to which Klopp said: “That’s part of football as well.
“If it happens like this then we cannot change it. If there’s a player out there with any contract [ending] in the next summer and he’s good – what Emre obviously is – then we should try to do the same. That’s an opportunity for all of us.
“If a contract ends then there are two sides who could have done [things] differently. One of them is the club and the other side is the player. It’s just a normal situation.”