Clear search field after pressing "Enter"

When i type in the search field and find the server i want to take over with rdp i press the enter key and the rdp session to the server is opened.
That is fine.
However, when i want to search again i first have to clear the search field before i can type in the name of another server.

Wouldn't it be much more efficient if the search field would clear automatically after you press the "Enter' key?

Or maybe you could make an option for that, that users can enable or disable to their liking.