Former England goalkeeper Chris Kirkland has left Sheffield Wednesday after turning down a new contract.
Stoke striker Peter Odemwingie has signed a one-year contract extension to keep him at the club until the summer of 2016.
The Dane, who helped Rangers to three league titles in the 1990s, was in Glasgow on Monday to hold talks with chief executive Charles Green.
Laudrup told RangersTV: "Since Rangers went into these chaotic circumstances, I have said all along that if I could help the club in any way I would do it.
"I've been here today to speak to Charles a little bit and we'll see if we can find a way for me to do that.
"To be able to be an ambassador for Rangers Football Club would be absolutely fantastic and we want to see if we can find a way to work together.
"If the club wants me to help - and it looks like it does - I would love to do it. I have always said I had four tremendous years at Rangers.
"The issue at the moment is to find a way in which I can help and it has been fantastic to meet Charles. He is a fantastic man to speak to and he has a great vision for this club.
"Now we just have to sit down at some point and formalise things so that we can work together, that would be great."