Ramsey was sacked as QPR boss last week, with the side languishing in the 13th place in the Championship table.
QPR made a poor start to the season, but Green claims that all the players at Loftus Road were sorry to see Ramsey leave.
“We are all desperate to see improvements,” he said. “We are all immensely disappointed for Chris.
"No one likes to see their manager lose his job because it means you’re not doing well. I genuinely liked Chris and wanted to do well for him, as did everyone in the dressing room.”
Ramsey clung on to his QPR job for a long time, but a 1-0 defeat to high-flying Derby County was ultimately what pushed him out of the door.
Sections of QPR’s support were very vocal in their discontent at Ramsey’s management, and it seemed that his position at the club had become untenable.
QPR have placed Neil Warnock in temporary charge following Ramsey’s departure, and he took charge of his first match back in the dugout at Loftus Road at the weekend.
The Rs drew 0-0 with Preston North End, with that result leaving them eight points behind the play-off places already.