I think it's reasonable to limit guests to whoever you want to. If that means your parents so be it. Same if it means no one.
But, to be honest, I don't think it's reasonable that you ask them (or anyone) to not speak to the baby. They're going to want to hold the baby and marvel at it's teeny toes, and invariably that means telling the baby how beautiful it is and that they love him/her.
But, to be honest, I don't think it's reasonable that you ask them (or anyone) to not speak to the baby. They're going to want to hold the baby and marvel at it's teeny toes, and invariably that means telling the baby how beautiful it is and that they love him/her.