Both verbs would work, but I agree with your choice.
The movie Jurassic World opens in theaters this weekend.
Can you say:
I remember you saying that your friend wants/wanted to see Jurassic World this weekend.
I think wants is correct because of saying.
I would use wanted if I started the sentence with said.
Am I correct here?
I would choose 'wanted' because 'you' said it at some point in the past.