The international legend has been backed by fellow internationals Graeme Souness and Gordon McQueen to replace Craig Levein.
"You want to be at the top of your profession as a coach, as a manager," said Jordan.
"As a Scotsman you want it to be the Scotland job. If you ask me if I'd be interested in the job, yes I am.
"I want to continue to be involved in football, whether that is manager or something else.
"But time will tell, we'll wait and see what happens."