"entered a" is correct and usable in written English.
It is a common grammatical structure used to describe an action or event that occurred in the past. One example of using "entered a" in a sentence is: "She entered a dark room and fumbled for the light switch." In this sentence, "entered a" is used to show that the subject went into a dark room, indicating a change in location or state. Another example could be: "The team entered a heated debate over the new project proposal." Here, "entered a" is used to describe the team's involvement in a discussion or argument, indicating a change in activity or focus.
Exact(59)
We entered a sunlit glade.
He entered a complete remission.
Mr. Burr entered a restaurant.
Neither entered a plea.
I entered a hangar-sized Lithuanian supermarket.
The broadcaster, 56, entered a civil partnership.
Upstairs, we entered a humid, windowless room.
"We've entered a strange new world.
They entered a field of mud.
He entered a number of online competitions.
Neither man has entered a plea.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com