Flamini should have seen red for his airborne two-footed challenge on the Croatian, but escaped with just a booking.
"I went to the Tottenham locker room to check on Corluka's condition and to apologise," ex-Arsenal man Flamini told Sky Sport Italia.
"It's a shame about the defeat, as we played a good second half. Now we'll have to go to London and win the game.
"We can win on our travels and created scoring opportunities tonight. In the first half we were too sluggish when pressing, but after the break we deserved a victory."