The midfielder signed for the Light Blues six months before the club went into administration and subsequently joined Helsinborgs after liquidation was confirmed in the summer of 2012.
Bedoya's appearances for Rangers may have been limited during his short spell in Glasgow but he says he still keeps tabs on the club's progress in Scottish League One and is keen to see them return to the top level as soon as possible.
He said: "It's a club with a lot of tradition and history.
"When I came in, I was really looking forward to it but I couldn't have come at a worse time. It is what it is.
"I still enjoyed some good times and I played with some good players and I enjoyed the banter.
"The fan base is remarkable and everybody knows that.
"Hopefully they will come back to the top and be back where they belong soon.
"I'm still following them on twitter and I keep up to date. I know they are on an unbeaten streak just now.
"With the things off the field, it's a shame to see it still going on.
"It seems like people are walking in and out of the door and there is so much uncertainty and not many things are settled.
"It's a shame to see but I'm sure they will be kicking on."
Bedoya, who now plays in France for Nantes, was back at Rangers' Murray Park training complex with the USA team ahead of Friday's friendly against Scotland at Hampden.
He added: "I don't feel like I have anything to prove.
"I know what capabilities I have and I know where I am now in my career, playing in Ligue 1 for a great side like Nantes.
"It didn't turn out the best way on the field for me here but, for me, it's just about proving I belong in the (USA) team."
Fellow American international DaMarcus Beasley played for Rangers between 2007 and 2010 and says he has been saddened by the plight of his former club.
The Puebla winger said: "I still keep tabs on Rangers pretty much every week to see how they do even though they are down a couple of levels now.
"It doesn't matter. I was part of this team for three years and we won a lot of things together.
"I want to see them get back up to Champions League football and playing Celtic in the derby matches.
"I'm excited for the next couple of years and to see them get back up to where they need to be.
"I was disappointed and a little bit hurt to see what happened to Rangers. Rangers are a big club and the fans have stuck by the club.
"We are all pushing for them to get back to where they belong."
Despite plying their trade in Scottish football's third tier, Rangers still attract more than 40,000 fans to most of their home games.
Beasley added: "It has not surprised me. The fans were great when I was here.
"The fans' support around the city and at Ibrox was great.
"Coisty (Ally McCoist) has done an unbelievable job, keeping the team together and bringing in new players and pushing for another championship."
- Sports & Recreation