McCall is keen to end a three-year spell out of the game since leaving Partick Thistle by taking over at Cappielow for a second time.
The post remains vacant following the resignation of Kenny Shiels last Monday.
"I want back into football and I have got myself into great shape for getting back into football," said McCall, who has lost a lot of weight.
"I have become fitter than I have been in years I would love the opportunity to prove myself again at Morton.
"Things are different under Douglas Rae and I'd welcome the opportunity."