Skrtel has questioned his future at Anfield after losing his first-choice status this season.
"It has been difficult for him and I've acknowledged and recognised that," Rodgers told the Liverpool Echo.
"The great professional he is means his focus has been outstanding and he's trained very, very hard every day and has been there when he's been required.
"We made the change a few months back and I think Jamie Carragher has arguably been one of the best defenders in the league and Daniel Agger has been fresh and played very well.
"It has been unfortunate for Martin but he has been a loyal member of the squad and is still very much part of my plans here.
"He's happy here, he's not in any rush to leave but players want to play. I haven't had any concerns with Martin at all, his attitude has been first class.
"It is important they know where they stand and he knows where they stand.
"He is very much a part of what we are trying to do here."