Veteran former manager Dario Gradi is currently in caretaker charge at Gresty Road after Steve Holland was relieved of his duties last week.
But Gannon, who ended his playing career at Crewe, said after Stockport's 3-0 win against Alex: "I'm very committed to Stockport. I haven't renewed my contract, but I'm happy to stay on my existing one-year rolling deal.
"I've asked a lot of people to commit to Stockport and I hold a great responsibility to these people so I'm enjoying myself here and hopefully I can carry on enjoying it."