The former Rangers forward was asked about the vacant Ibrox position on Tuesday.
Brian Laudrup has been asked if he could throw his hat into the ring to become the next manager of Rangers.
Laudrup spent four years as a Rangers player between 1994 and 1998, but unlike his older brother Michael, the Dane hasn't entered into coaching since his retirement at the turn of the millennium.
It is coming up three weeks since Rangers sacked Pedro Caixinha as manager, and a statement released by the club last week stated they had yet to conduct interviews with any interested parties.
Laudrup's old teammate at Ibrox, Derek McInnes, has been strongly tipped to succeed Caixinha, who Laudrup conceded, via Sky Sports, "probably didn't know the size of the club".
And the 48-year-old added: "I think what (Rangers) need right now is stability. I think they need somebody to come in who knows the club inside out, so in that respect Derek McInnes would be a good signing.
"But whether it’s possible will remain to be seen."
On whether he could apply for the position, Laudrup added: (Laughs) I don’t think I’m the right answer to that one. I’ve decided not to become a coach.
"Deep in my heart I’m still a Rangers man and fingers crossed they will find the right fit for the job."
McInnes, who has led Aberdeen to one League Cup three straight second-place finishes in his time in charge at Pittodrie, remains the bookies favourite for the Rangers position, despite having distanced himself sine Caixinha's sacking.
The 46-year-old spent three seasons playing alongside Laudrup at Ibrox.
Who should Rangers appoint as manager?