According to the grammar of the sentence, the correct option is B:
Espero que él salga pronto de casa.
A - Present form, doesn't apply (pronto (soon) - means it didn't happen)
C - Plural form, doesn't apply (él (he) - singular, masculine)
D - Plural form and second person, doesn't apply (él (he) - first person, singular)
Hope it helped,
BioTeacher101
