See if you can twist the rod with pliers to open it. Do it in the direction as if you were opening glove compartment (move pliers upward), it should pop open.
Replacement for the handle alone from the popular online dealerships is a few cents short of $20.00. Craigslist/eBay a full glove compartment, I'd suggest, and swap the handle (two screws, maybe some hidden hardware somewhere).
1996 Civic EX, 263,000 miles, D16Y7 converted to M/T, project when not lazy (too many issues)
2007 Civic EX, 39,000+ miles, daily driven M/T
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