This is a conversation in the film "A Wish for Christmas", you can download its subtitle on the internet
The boss is talking on the phone:
Boss: Frankly, the way things are going, Christmas is turning into one big, giant headache. I know. Christmas isn't all it's cracked up to be. I've tried to make it work. If you don't like it, then maybe you should talk to him. I have to go. Christmas is not happening. I'm sorry.
After that, a man says
Man: Uh, ahem, did I hear that correct, boss? Because I got five employees coming in to work on Christmas, but if it's not happening...
Boss: What? No, no. That's not what I meant. No. It's happening.
My concern is that the sentence "did I hear that correct?" sounds unfamiliar
Because "Correct" is an adjective & is never an adverb.
So, I expect he says "Did I hear that correctly?" "correctly" is an adverb & modify the verb "hear"
However we also have object compliment,
Eg: I painted the house black. "Black" is an adjective and a compliment of the house Source
Besides, we've got this structure "hear somebody/something doing something" in the dictionary
Eg: He could hear a dog barking. I would say "barking" is a compliment of "a dog"
I am not sure if I can say "I hear that correct", in this case "correct" is an adjective and a compliment of "that"
So, Which one is correct?
Do you say "Did I hear that correctly?" or "Did I hear that correct?"