The Gers are yet to appoint a new manager at Ibrox after sacking Pedro Caixinha last month following a disappointing 1-1 draw against Kilmarnock.
Former Rangers player Derek McInnes is the favourite to take over, but is yet to be appointed as he continues in his role as Aberdeen manager. Interim boss Graeme Murty is also in the running, after winning his two matches in charge.
Speaking to Alan Brazil's TalkSPORT show on Friday morning, former Chelsea and Aston Villa assistant manager Wilkins called on his former side to appoint a manager that understands what it means to be in control of a club like Rangers.
“I’ve got to say, being an ex-Ranger, I was very proud to play for the Rangers," Wilkins said. "It has to be an ex-Ranger that takes over, that knows what the club is all about.
“I don’t know why we are looking offshore, when we have these guys just waiting in the wings to take over. It has to be an ex-Ranger that knows what it’s all about, knows what the supporters require, as it does with Celtic as well.
“These clubs are institutions, they are global institutions and Rangers need a Rangers man at the helm.”
It remains to be seen if Rangers will have a new man at the helm on a full-time basis before the international break ends, as the Gers play host to Hamilton in the Scottish Premiership on November 18.
Three points for the Scottish giants could see them leapfrog Neil Lennon's Hibernian and McInnes' Aberdeen into second place in the table, if Hibs fail to beat St. Johnstone and the Dons lose to Motherwell.