Gerrard says it would be a "dream come true".
"There are world-class managers there ready already, but we’ll have to wait and see, it would be the icing on the cake.
"When you get to a certain age… my age, you need to start thinking seriously about a life after football.
"I just signed a one-year extension, I need to start planning for the future. I am planning on doing my badges and qualifications over the next 12 months.
"I definitely see myself as a manager rather than a coach, but that could change. I remember speaking to Jamie Carragher and he really fancied it but he’s decided media is what he wants to do.
"It’ll be strange seeing him on Sky but I’m really delighted he’s doing it… He can leave managing Liverpool to me!"
For the big stories and the banter follow us on Twitter: @tribalfootball