The correct answer would be "No, no me gustan esos zapatos."
How to answer the question?
The question: "¿No te gustan estos zapatos?" asks if you do not like these shoes.
The answer then can be something like "No, no me gustan esos zapatos"
Which translates to "No, i don't like those shoes".
It indicates that you do not like those shoes. The use of the demonstrative pronoun "esos" indicates that the speaker is referring to a specific pair of shoes that are not the ones the questioner is referring to.