QPR allowed Hill to depart Loftus Road earlier this summer, and Glasgow Rangers chose to capitalise.
Rangers brought in Hill on a free transfer last week, and the defender is expected to be given some coaching responsibilities at Ibrox alongside his playing duties.
The 37-year-old previously stated that he was hoping to be handed a similar role at QPR, but the London club did not present him with that opportunity.
And Gabbidon said: “I’ve heard Clint might get a coaching role and that doesn’t surprise me.
“When I played with him at QPR I always looked on him as a future boss – 100 per cent.
“He’s obsessed with football and loves the game. I know he was doing his
coaching badges so that side of the game is something he has always been interested in.
“That’s what he wants to do when he finishes playing. So the opportunity that Rangers might give him at Ibrox would have been very tempting.
“I’m disappointed that didn’t happen for him at QPR and Clint might be as well. I thought they would have offered him a similar role but that wasn’t to be.”
Gabbidon played with Hill at QPR, during his one season at Loftus Road between 2011 and 2012.
Hill spent six years with QPR and became a real fans' favourite at the London club during his time there.
Hill impressed through his loyalty and commitment when on the pitch, and his departure has caused frustration amongst fans of the R's.
The experienced defender is Rangers’ fifth signing of the summer - following the arrivals of Joey Barton, Jordan Rossiter, Matt Crooks and Josh Windass.