The Gers number one has been involved in national team squads in the past and made his only appearance in a friendly against the Faroe Islands in November 2010 following a string of impressive displays for then club Kilmarnock.
Bell may now be plying his trade in Scottish football's third tier but believes he is still more than capable of doing a job for Gordon Strachan at the top level.
He said: "I have been involved in squads and I still want to be.
"It's an ambition of mine to be involved in as many squads as I can. It can only progress my career.
"When I came to Rangers, I thought it would improve my chances. I still don't see why it won't.
"You're playing in front of big crowds of 45,000 at Ibrox. There are different pressures coming to Rangers and playing for a club like this.
"All I can do is keep as many clean-sheets as possible and play as well as I can for Rangers.
"Hopefully the Scotland manager will have a look at me and take me into consideration.
"I know Allan McGregor is injured for the next game so it's something I will try to push for as much as I can."
Bell's views were echoed by Light Blues boss Ally McCoist, who believes his goalkeeper has every chance of following in the footsteps of team-mate Lee Wallace.
He said: "His concentration levels will have to be greater than they have ever been.
"I think he's been a terrific signing for us since he joined in the summer.
"He's in good shape and I think he's enjoying it, which helps, and he's very confident.
"The fact that Gordon has had Lee in the squads and has played Lee, it wouldn't surprise me if Cammy fights his way back into the international squad. Far from it."
Meanwhile, McCoist refuted suggestions that winger David Templeton has handed in a transfer request after failing to hold down a regular place in the team this season.
He said: "It's absolutely not true at all. It's the first I've heard about it.
"I've had a look on my desk today and there certainly wasn't a transfer request from anybody on it.
"I've spoken to Temps, I've spoken to Kyle Hutton, Emilson Cribari, boys like that, and they are training away fantastically well, which is really important.
"The boys who aren't playing are vital to you because they have to maintain the standards of training and being part of the squad. At this moment in time, they have been first class."
McCoist was speaking ahead of Tuesday's Ramsdens Cup semi-final against Stenhousemuir, where he will be hoping for a repeat of the 4-0 win against East Fife which allowed Rangers to maintain their 100 per cent Scottish League One record.
Saturday's match was watched by former director Dave King, who flew into Glasgow on Friday from his base in South Africa to holds talks with both parties involved in an off-field power struggle.
The Scottish tycoon could be set for a return to the Ibrox boardroom, with further reinvestment in the club also a possibility, albeit he would have to meet Scottish Football Association criteria after settling a long running dispute with the South African tax authorities.
McCoist said: "I spoke to Dave King briefly after the game on Saturday.
"It was just passing the time of day and talking about the game. We just commented on the two contrasting halves.
"We weren't too happy with the first half but reasonably pleased with the second half.
"He did say he was impressed with what he saw in the second half.
"He wasn't 100 per cent sure what he was going to see in terms of the team and things like that but he was pleased with what he saw."
Asked about the SFA requirements King would have to satisfy, McCoist said: "They have made it quite crystal clear but that's effectively nothing I can do anything about or worry about. It is what it is."
On the ongoing events behind the scenes, McCoist added: "The board have always kept me up to speed with what's going on.
"At the same time, I do know my place and it's my business to get the team on the park that hopefully gets results and does well.
"That's what I will continue to do."