And McInnes thanked club Ibrox for “doing it right” in the often murky world of football transfers.
League officials have informed the Dons of their intentions after Sunday’s Premiership clash in Pittodria, with the 23-year-old’s contract set to expire at the end of the season.
They want to sign Wright on a pre-contract deal, but it is believed that Aberdeen is also happy to stage a deal in the current winter window, if the Rangers are open to the idea.
Away coach Steven Gerrard spoke to McInnes after his side’s 2-1 win at Granite City and his opposing coach revealed that talks are also ongoing between the club chiefs.
He said: “There was a conversation at the boardroom level.
“I spoke to Steven yesterday, he called me to say they would have an interest in Scott on a pre-contract and they wanted to do it right.
“This is not always the case when the players are in breach of contract.
“We appreciate that the Rangers went through the front door and did it right. ”
McInnes also revealed that he was certain Wright would leave the club after making an initial offer of a new contract in October.
And he believes there are more clubs interested than just the league leaders.
He added: “I resigned myself that Scott was leaving anyway. We made our first offer to Scott the first week of October and never received any encouragement from Scott or his agent.
“They never really gave us a chance at a counter-offer, so I’ve resigned myself the last few months because he’s likely to leave at the end of the season and nothing has really changed about that.
“I think there is more than one club interested, but the Rangers have nonetheless shown that they care about Scott and can pre-contract Scott, really at any time.
“We don’t want to lose Scott, he’s a key member of the team and has been this season. We are therefore disappointed to lose him at the end of the season.
“If we get a good offer, from the Rangers or whoever it’s up to the board to weigh that, see, like any of our players, if it’s an opportunity for Scott to move on. the end of the season. ”