Hearts restored some pride with a battling 2-0 win over Dinamo Zagreb, but still crashed out of the Europa League 4-2 on aggregate.
After the game boss Csaba Laszlo then gave the clearest indication yet he may quit as boss.
He told the Scottish Sun: "This was a good experience and I hope with all my heart that with or without me this team qualifies for the Europa League again.
"Hearts is a great club and one, which, if it can keep the players it has together, has a nice future.
"I fight for this club, I fight for everybody, but sometimes I can get tired and if someone gets tired sometimes they must sit down.
"I don't want to leave this club, but it's no secret Hannover are interested and they are a big club, like Hearts.
"I have not spoken with anyone from Hannover and if they want to have my services they must talk to Hearts before they talk with me."
Laszlo hit out at the lack of cash given to him by Vladimir Romanov.
He added: "I have a two-year contract and I would like to stay, definitely, but you don't know what will happen after tomorrow.
"But I would like to have support from Hearts and I would like to see this support not only come in the good times, but the bad times as well."