Maynard believes Cardiff are capable of easing their nerves early on in their first top flight campaign in more than half a century.
"We've got a great first 10 games of the season where if we can pick up a few points we can steady ourselves," said 26-year-old Maynard.
"I'm looking forward to going back to West Ham and then we've got Manchester City, which is obviously going to be tough.
"But we are not going to be afraid of anyone and we will be going out there to make our mark on the division."
For the big stories and the banter follow us on Twitter: @tribalfootball