Right, so you mean "Project", which already shows the project name (and isn't really a field as such)
I am guessing here, because it's not clear, but do you mean you want to pre-select the project when creating new issues?
Jira defaults this already, to the last project the user used, which is not a bad rule. You can pre-fill it if you're using remote links (e.g. a confluence page that says "click here to raise a Jira issue in project X" can link to a Jira url with the project in it).
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