"Yes, there is truth in the rumours", Gerrard said when asked about reports linking him with the post.
"I've held positive talks with them".
"The plan is, obviously I'm busy for the next couple of days now, but I'll pick it up on Thursday and we'll see if I can progress it".
Gerrard, 37, hung up his boots in 2016 after a 12-month stint with LA Galaxy and now manages the Liverpool under-18s.
Murty replaced Pedro Caixinha in October - the second time in a year that he had taken on that caretaker role - but lost his job after a humiliating 5-0 defeat to Celtic last weekend.
Rangers added that Murty "will take some time to consider his options, which include returning to his role at the Rangers Academy".
They say sources close to Gerrard have told them that he is viewing a potential stint at Rangers as the flawless stepping stone to one day succeeding Jurgen Klopp at Liverpool.
Assistant coaches Jimmy Nicholl and Jonatan Johansson have been put in temporary charge for Saturday's home game with Kilmarnock.
"Graeme has had to contend with hard and challenging circumstances but conducted himself in a thoroughly professional manner".
"He has cut his teeth at Liverpool with the young lads there and at some point Steven is going to step out of that and go into managing men, managing a first-team".