Can, 24, is out of contract with the Premier League giants at the end of the season and has been heavily linked with a switch to Juve.
"Emre Can is a player whose contract is running down, so it allows us to approach him for negotiations and that is the course we have taken," Marotta told Sky Sport Italia on Wednesday.
"I can't say if he could sign a new contract with Liverpool, but I can say we will try all we can to get the player.
"Obviously, we have to respect what the player wants."
Can arrived at Liverpool from Bayer Leverkusen in 2014 and has developed well at Anfield, and he may yet re-sign with the club.
The 24-year-old said on Tuesday that he was "talking with everyone" , Liverpool included, but that no deals had been reached.
"I haven't signed anything with anyone," he said. "I am talking with everyone.
"Of course I am talking with Liverpool. Why not? I still have a contract here. It is an amazing club.
"What can I say? My agent does the rest. I just concentrate on the scene, on my performance and the football. I will give everything for this team."
Liverpool's last out saw the Reds hand Pep Guardiola's Manchester City their first loss of the season. The club will be back in action on Monday with a match against Swansea.