If someone said that to me I would consider it an insult. Parrots imitate what others say, they don't think for themselves. Definition of 'parrot' Random House Webster's College Dictionary
1. (n.) parrot
any of numerous gregarious, noisy, often brilliantly colored birds of the order Psittaciformes, principally of the tropics and warmer regions of the Southern Hemisphere: some species have the ability to mimic speech when in captivity.
2. parrot
a person who, without thought or understanding, repeats the words of another.
3. (v.t.) parrot
to repeat without thought or understanding.
Etymology: (1950–55)
Definition of 'parrot'