But ex-Celtic boss Barnes believes that the former Liverpool captain will be set up to fail if he takes the job.
"Yes, there is truth in the rumours", Gerrard said, as quoted by ESPN FC.
"There is [interest]. I've held positive talks with them".
'I'm busy for a couple of days now and I'll pick it up on Thursday and we'll see if we can progress it'.
Gerrard will be in Italy on Wednesday working as a TV pundit for Liverpool's Champions League semifinal against Roma.
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Liverpool holds off Roma to reach Champions League final
Third in Serie A, Roma's priority is now to finish in the top four and qualify for the Champions League again next season. Alisson denied Mane but from the resulting corner Dzeko's attempt to clear fell to waiting Dutchman Wijnaldum.
The news follows the departure of manager Graeme Murty, who was sacked by the club in the wake of their 5-0 defeat to Old Firm rivals Celtic on Sunday.
Jimmy Nicholl and Jonatan Johansson have been handed the reins for the final three matches of the Ladbrokes Premiership season as Rangers aim to leapfrog Aberdeen and secure second place.
"For him to have the opportunity to have a job of that stature and that size, I think it's flawless". "If it feels right, I think he can handle that pressure from his playing days, he's no stranger to that with the career he had in the game".
Gerrard is in charge of the Liverpool Under-18 side at the moment and does not have any experience of managing a first team so far.
Arsenal idol Wright said: "With Steven being the personality that he is, wherever he goes, he is going to have that focus on him, so you might as well go somewhere like Rangers where their aim is to get closer to Celtic".