This depends on your employer's policy.
Some companies will not allow anyone other than the provider to change.
Some companies will only allow certified coders to change.
Some companies will let anyone change.
When I was in a private practice, anyone in the billing department with the appropriate knowledge could change any code.
Now that I work for a large healthcare system, either the provider, or any certified coder may make changes.
My opinion is that unless your providers receive a fair amount of coding training and education, others with more skill in that area should be able to correct codes without provider's permission. In fact, in general, I don't believe providers should be coding. Let them focus on patient care, which is what they were trained to do. Let coders focus on guidelines and rules, which is what they were trained to do.