Can will be followed out of Anfield by Liverpool academy graduate Flanagan, who played his final game for the club last September.
The 24-year-midfielder ends his four-year stay in Merseyside when he signed for the Reds from Bayern Leverkusen back in 2014.
The defender was a mainstay of the team that challenged for the Premier League title in 2013-14, making 23 appearances as the Reds ultimately finished second, and became a senior England worldwide.
It was also announced at the same time that local lad Jon Flanagan will leave the club he has been at since he was a boy.
Thiem hails "awesome" King of Clay after French Open defeat
Up a break at 2-1 in the third set, Nadal stopped serving after a fault because he couldn't straighten his left middle finger. His lead was reminiscent of their semifinal at the French Open past year , when Nadal also held the early advantage.
He has yet to make his first-team debut but came in for praise from manager Jurgen Klopp last season.
With Glen Johnson not the player he once was, Brendan Rodgers started to pick the younger option at right-back but disaster struck before the next season started as the club revealed that he had undergone knee surgery.
Flanagan spent the second half of last season on loan with Bolton Wanderers.
Liverpool also announced the departures of Toni Gomes, Paulo Alves, Mich'el Parker, Jordan Williams, Anthony Glennon, Jordan Hunter, Harvey Whyte and Yan Dhanda.