It looks like the sentence is incomplete. If you're trying to say that Mike's uncle insists on staying in this hotel, the complete sentence would be:
"Mike's uncle insists on staying in this hotel."
If there's more context or a different intention behind your request, please provide additional details so I can assist you better.
Mike's uncle insists________in this hotel.
A staying not
B not to stay
C that he would not stay
D that he not stay
D
insist接宾语从句时,从句用虚拟语气,即should+动词原形,should可以省略,故选D。