Onyewu is on trial at Rangers at the moment, having joined Mark Warburton’s side at Charleston on Monday, as reported by The Glasgow Evening Times.
The 34-year-old central defender is aiming to impress Rangers manager Warburton in order to earn a contract for next season.
Former Rangers attacker Bedoya believes that the Onyewu would prove to be a success for the Gers if he earns a contract.
The 29-year-old, who can play as an attacking midfielder or as a winger, played with Onyewu for the USA national football team.
Bedoya has also compared the former Queens Park Rangers and Sheffield Wednesday man to Carlos Bocanegra.
Bocanegra, a former USA international defender, was on the books of Rangers from 2011 until 2013.
“I haven’t seen him play for a while because it was well documented that he had an injury but I’m delighted he is getting a chance to show what he can do with Rangers,” Bedoya told The Glasgow Evening Times about Onyewu.
“It’s a fantastic opportunity for him and I hope he can convince the coaches that he can do a job because I’m certain he would be a big success in the Scottish Premiership.
“I loved playing in teams with him because you knew you had such a strong character behind you. He is a great leader too the way he handles himself on the pitch, much in the same way that Carlos Bocanegra used to do.”
Rangers have been quite busy in the summer transfer window so far, signing Joey Barton and Clint Hill among others.
The Gers will feature in the Scottish Premiership next season after winning promotion from the Scottish Championship at the end of the 2015-16 campaign.