"Did I hear that correctly?" or "Did I hear that correct?" Which one is correct?

Question

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?"

Answer 1

"Correct" can be used as a flat adverb in certain dialects. In fact, that includes the dialect of American English that I speak. It is pretty informal. You can find plenty of examples of this online:

• Did I hear you correct, 1500?” “You heard correct.”
  _{Small Fires in the Sun: First Were Natchez, Then Came the Spanish, the French & The African Slaves}

• The thing is, even though we all know about Green Bay, if I hear you correct, then you find out the truth long before everybody else.
  _{A Brief History of Seven Killings: A Novel}

• The only time that most hear it correct is when they hear me talk.
  _{Collected Wisdom: American Indian Education}

Some flat adverbs are considered Standard English, some aren't. Given that I can't find "correct" (as an adverb) in any dictionary, it should not be considered Standard English. (Of course, just because it is found in a dictionary does not mean that everyone will find it acceptable.)

The history of why flat adverbs are disliked by prescriptivists is interesting too.

Answer 2

The man should have stated it using the adverb "correctly" rather than the adjective "correct" because an adverb is used to modify a verb:

"Did I hear that correctly, boss?

Using "correct" as an adverb is, indeed, substandard English as Khan states above.

I hope this might have helped you out. Take care and good luck!