"Of course, I have sympathy because I know how hard the life of a manager can be", said Klopp.
"I think his ethos suits Arsenal as well".
Arsenal have appointed club legend Freddie Ljungberg as their interim head coach but the north London side are on the hunt to find a new long-term permanent manager. It's tough for all the clubs who go there but it's a special game for the city and our fans as well.
"My focus is very much here with Leicester", he said after the match.
Despite talking about the release clause, Rodgers made it clear that he is happy at the King Power and wants to stay the club right now but still the Arsenal rumours are just refusing to go away.
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He added: "To be fair, this team, starting from the players, to the staff and the manager - everyone - we are all together, so everyone is happy with each other."Those who are playing or those who are not playing, everyone is happy".
"It doesn't annoy me".
"I think when we dominated the game, we had possession, it was not a big problem but we do have a problem on transition and that's what I'm going to try and fix".
The Foxes manager has been touted as a potential candidate to replace Unai Emery at The Emirates after the Spaniard was sacked by the Gunners last week. I came here to help the project and see if we could bring it forward.
Arsenal are keen to secure the correct long-term successor following their torrid run of recent form, the North London side now eight points adrift of the top four and facing the prospect of missing out on Champions League football four a fourth successive season.