I don't think Russia will do anything about the situation, prompted or not. The USA and Russia are not allies per se; their relations are not - how to say - balanced, on the same level?
I think Snowden being right where he is suits the Kreml very well.
And I don't see Trump asking for him either; how would he benefit from that?
Lol, imagine the villain wanting to cause chaos and inadvertently doing the right thing. While the protagonists stick to their "norms and traditions", even if the norm are wrong. Ironic.
Just putting it out there that Snowden and the journalist he worked with, Glenn Greenwald, were and are both a lot more right wing than they seemed to a lot of folks on first glance.
Both of them have some good viewpoints that are seriously undermined by other more unsavory viewpoints they have.