Sheedy briefly put his hand up for the job before withdrawing his candidacy, citing his distaste for the interview process put in place by the club.
He returned from holidaying in Fiji with his wife to be at the launch of Sunday's Eureka clash between the Tigers and North Melbourne in his ambassadorial role for the club, but he refused to comment on the issue.
Wright, however, maintained all was good between the two parties and would continue to be so.
"Kevin is a great legend of our footy club, he's a member of the hall of fame, he's always welcome at the club and he's here today as an ambassador for the Eureka game," Wright said.
"He will be an ambassador for the Richmond Football Club in the future as he is now.
"Life goes on, we move on together and we look forward to Kevin playing a proactive role at the footy club.
"We're all here for the common good of the Richmond Football Club and we're working together through initiatives like the Eureka game to grow the club and Kevin is fully supportive of that. I'm looking forward to working with him."
North Melbourne chief executive Eugene Arocca spoke at length about his club's desire to sound out Nathan Buckley on his coaching intentions at the launch, but Wright would not be drawn on individual applicants for the Tigers' senior coaching role.
"We've got a process in place and we'll go through that process. Whatever Nathan decides to do that's a matter for him, but we'll go down the path and we're sure that we'll get the best coach at the end of the day," he said.
"We've got a number of candidates and they're all, on paper, very good and we're about to go through the interview process now where we'll talk to them all individually.
"We're going through a process and that process takes a bit of time, but we'd be looking in probably eight weeks time to have a decision by then. Certainly we're well and truly down the track."
Wright said the club hadn't yet trimmed the applicants down to a final list. What is certain is that former club great and current assistant coach Wayne Campbell won't be part of that group after pulling out of the interview process.
Campbell was considered a warm favourite to win the job before his shock withdrawal, but Wright said there was no disappointment at his decision behind the scenes.
"If he felt that he probably needed a little bit more time then that's a matter for him. I think it's a mark of the man," he said.
"There's no point in putting your hand up if you don't think you're ready and Wayne, give him credit, in his view thought that it wasn’t the right time for him.
"He's working with the club and he's a really, really good assistant coach who is great around the facility. I think it's the mark of the man that he put the club first."
