A: What happened?
B: We had a fight.
A: Oh, a fight!
B: No, no, not that sort of fight. I mean an argument, a quarrel.
.
.
Which is grammatically correct:
-Oh, a fight! ← original text
-Oh, a fight?
Thank you
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Grammatically it could be either one. In this case the inflection ( rise in pitch ) makes it a question.
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Thank you so much, NearlyNapping 
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Can’t we call it (Oh, a fight?) a rising intonation?
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To me they mean the same thing in this context, so yes. Intonation is more broad than pitch, but it includes pitch. I usually think of a rise in pitch for a question.
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