City averaged 54,219 during the 2019-20 Premier League season and more than 51,000 attended their first two league games at home this term.
“It does also play into the hands of supporters from other teams who want to take every opportunity to have a go at City for what they think are the poor attendances,” Parker said.
“People refer to the Etihad as the ‘Emptyhad’. It’s a little bit of fun by the opposition supporters but there’s no justification for it.
“He [Guardiola] is absolutely the best coach in the world but, in the nicest possible way, I think maybe he should stick to that.”