The centre-back exited Ibrox in the January transfer window after MLS side Colorado Rapids came in with a bid for the player.
Earlier this week, Wilson stated that the reason for his departure was down to the club failing to provide an offer of a new contract, with his deal due to expire this summer.
He even accused director of football Mark Allen of performing a U-turn, promising an offer one day before reneging on it the next.
His former manager, however, insists that was definitely not the case.
Murty said: “I want players here who want to be here. Danny wanted to leave so we helped that happen.
Asked about talk of a new contract for Wilson, he added: “Those discussions were ongoing. The player didn’t want to stay.
“So if he doesn’t want to stay, that’s fine.”