The Anfield boss claims there is "no change" in the Uruguayan's situation and says the club are still in contact with the striker who is currently at the Confederations Cup
The 26-year-old is currently at the Confederations Cup with Uruguay and has publicly voiced his desire to quit the Premier League this summer due to his negative portrayal in the British media.
Suarez, who has also claimed he is disturbed by Liverpool's failure to secure Champions League football, has been linked with a move to Real Madrid, but Rodgers says he is relaxed over the Uruguayan's demands.
“It’s quite simple. The club is in complete control of the situation," Rodgers told talkSPORT.
“For me there is no real change in it. He’s away with the Uruguay squad at the moment and we’re messaging and what not.
“I will always listen to players. I always work closely with players and listen to their point of view but the biggest word is with the club.
“Sometimes interviews get put out there and highlighted, but parts of Luis’ interviews have been about how much he loves Liverpool, but of course that doesn’t get highlighted.
“It’s something that happens. I’m quite relaxed about it.”
Rodgers reiterated that Suarez is a vital part of Liverpool's progression and believes the Uruguayan appreciates the backing from the club's supporters.
“What I know is that the support Luis has had from the people here in Liverpool, the city and the football club, has been phenomenal and I know he feels that and respects that," Rodgers said.
“We’re in a situation where we’ve got a player who we don’t want to lose.
"We’re trying to build something here and he’s a very important part of that and because of the type of player he is he will always give his best."