Rangers manager Murty was also asked about the possibility of a new Ibrox deal for striker Alfredo Morelos.
Wilson left Rangers for a second time at the start of this month, to sign a three-year deal with Major League Soccer outfit Colorado Rapids.
The Rangers academy product was in the final six months of his contract at Ibrox, and told the Scottish Sun this week that he was 'left with no choice but to consider other options' after the club failed to follow through on their promise of a new deal.
Speaking to Rangers' official Youtube channel at a press conference on Thursday, however, Murty insisted that Wilson did not want to stay.
"I want players here who want to be here," said the Rangers manager. "Danny wanted to leave. He made clear his interest to want to leave so we made that happen.
"Those discussions [about a new contract] were ongoing and the player didn’t want to stay. If he doesn’t want to stay, that’s fine."
It has been speculated that a new contract could be in the offing for Rangers' top scorer Alfredo Morelos, following interest from clubs in Turkey and China.
Asked if that is indeed the case, Murty replied: "There’s conversations about contracts going on with numerous members of the squad. I won’t identify anyone currently, but once those contracts are tied up - as has been my way consistently - we will come to you straight away and we will give you that information.
"I don’t think it’s helpful to the player to discuss him in public. We would like to discuss our business in private and deal with those people first hand.
"But people in the squad are currently being talked to about contracts about terms about the length of their contract and we need people who want to be here, who are desperate to be here, and see this club as a viable option as the next stage in their career."
Murty confirmed that James Tavernier is one such player, after the Rangers right-back signed a new three-and-a-half-year deal on Wednesday.