The 46-year-old has been out of work since seeing his contract with the Trotters terminated after a poor start to the Championship season.
However, Coyle is determined to get back into the game and is hopeful the Scottish Football Association will consider him for the role.
"There is no doubt that the Scotland job is a terrific job for the right candidate," he told Sky Sports.
"If the Scottish Football Association felt I was one of those candidates and they wanted to speak, then, of course, I'm happy to listen and see what people think - how they want to progress and what they think of yourself and what you can bring to that job.
"I've worked as hard as a manager as I did as a player and maximised everything I had. Whatever I enter into, I go in giving everything I've got.
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"If people felt you were worth speaking to about their club or national job or whatever it is, then I would be flattered if that came to be."
Coyle went on to concede he faces plenty of quality competitors for the role and believes Scotland are fortunate to find themselves linked with so many good options.
He added: "What I would say, and I've got to give balance to it, is that I think Scotland are very fortunate that they do have many outstanding candidates capable, I think, of ultimately qualifying for major competitions."