The midfielder spent several years on the Easter Road books after watching his idols from the stands, but failed to make the breakthrough into the first-team arena.
After being overlooked by a succession of managers, Welsh's decision to join Partick Thistle has revitalised his playing prospects after he helped them back into the Premiership.
The 23-year-old believes the time was right to bring the curtain down on his capital career after a series of snubs.
He said: "In the end, I was ready to go. I was just totally frustrated with football. I needed to play.
"I knew I was good enough and I never doubted myself but I was just getting too frustrated sitting there doing nothing. I knew the time was right for me to go and look somewhere else to play my football.
"I went to see a few managers about not getting a game. I thought I could do a job. Colin Calderwood was saying that my chance was coming then he got the sack.
"I spoke to Pat Fenlon and I think he wanted to go a different route and go for experience and get rid of the young players. That was his choice and that's fine.
"I don't know why. It is just a manager's opinion. I was unlucky with injuries but I don't want to make that the reason why.
"It is just a manager's opinion. It is up to them who they put on the park and they must have thought I wasn't good enough. It was their opinion.
"I was on the bench for about 10 games in a row but never got on the pitch. It was really frustrating. I came here and enjoyed my football and I am glad I am here now."
Despite starring for the Hibs youth sides for several seasons, Welsh was never given the chance to shine on the big stage, with a series of injuries leaving him frustrated on the sidelines.
A training ground bust-up left the midfielder with severe facial damage, but he insists he has moved on from the horror injury.
Welsh said: "It was very early on in pre-season when it happened. I would have hoped that I would have got a chance in pre-season to show what I could do and then kick on from there. It wasn't to be.
"I fractured my cheekbone. It wasn't a pleasant time. It was a bad injury. It wasn't a nice time in my life.
"It is in the past now, I am here, looking to the future and enjoying myself. I have left it behind and moved on."
After bringing an end to his eventful time at Easter Road, Welsh has shone at Firhill under Jackie McNamara and now Alan Archibald.
He was an integral part of the Jags side that claimed the Irn-Bru First Division title last time out and, following Archibald's move into the dugout and Paul Paton's switch to Dundee United, he has been given the Thistle armband for their first top-flight campaign in nine years.
Welsh said: "I was a bit surprised to get the captaincy here. It is an honour. I never thought I would be playing against Hibs as captain of another team. I am looking forward to it."