Flanagan returned from a 20-month spell on the sidelines with a knee injury in January and has been on the fringes of the side since, but Klopp said the biggest positive was the 23-year-old being available after his long lay-off.
He told his pre-match press conference, as per the Liverpool Echo: "Of course we are thinking about it. The best news is that Flanno is back. After a long time you have to be careful.
"Hopefully at the end we can find a positive solution for both sides."
Klopp seemed to play down reports suggesting that he would have a busy summer by saying the side are planning ahead but have a lot of work to do before then as the Reds seek a strong conclusion to their campaign.
Given the game is only three days after their clash at Wembley, Klopp was asked to reflect on the final which saw his side lose out in the most agonising of ways.
He added: “First of all, you have to analyse it. You cannot change the situation but take all the things from it. We can use the final experience, maybe, in another final. We saw we are capable of really good things, we had more than 60% possession against a football-playing side - although it was a little bit because of the result. We created a few chances, not enough with the possession, but a few.”
Lucas Leiva looks as if he could be unavailable as Klopp revealed the Brazilian had a muscle problem when taking a penalty in Sunday's League Cup final defeat to Manchester City.
Simon Mignolet has seen some blame head his way in a final which summed his Liverpool career up, featuring several fine saves but a mistake which proved costly, leading to City's opener.
He said: “I would lie if I said the goal in the final was unstoppable but Simon knows this too. It is how it is.
“I’m not sure it’s a mistake but it was not perfect. And that’s how it is in a goalkeeper’s life.
“I cannot say nothing negative about Mignolet as a person - good boy, big personality, a lot of pressure. He’s old enough, he’s experienced enough and we have to go through it together."