Kembali
Celta Vigo won 2-1 at Parkhead in the Europa League on Thursday evening, with Javi Rodriguez's quick-fire brace turning the game on its head after Mika Baur opened the scoring in the 47th minute.
Celtic sit second-bottom in the 36-team league phase after losing all three of their opening matches.
Sutton said (RecordSport): "What decent player is going to want to come to a club that is seemingly happy to be European also-rans at best and whipping boys at worst? Seriously.
"There has probably been high-fiving and backslapping in the Celtic boardroom about getting the likes of Camilo Duran and Kasper Hogh.
"But those players were likely signed with the promise of competing in the Champions League – not propping up the Europa.
"It’s going to be a harder sell if they are already out of the competition with games to go and looking like a club with very little ambition to do much about it in the future.
"And the same goes for hanging on to their decent players. If a big bid comes in for someone like Duran, why wouldn’t he jump ship if it’s a club that is going places?
"That might sound harsh, but how else can you view it after Thursday night."
Celtic return to domestic action on Sunday, as they travel to face Hibernian at Easter Road. Martin O'Neill's side sit top of the Scottish Premiership, nine matches into the new campaign.