"Allow to enter" is a phrase commonly used to describe the act of granting someone permission to enter a particular space or area. There are several different synonyms for this phrase that can be used to add variation and nuance to one's writing or speech. Some possible synonyms for "allow to enter" include "let in," "admit," "grant access," "give permission," "welcome," "accept," "approve," "authorize entry," and "open the door to." Each of these alternatives brings a slightly different connotation and can be used to convey different shades of meaning depending on the context in which they are employed.