Hull start life back in the top flight with clashes against Chelsea and Manchester City in two of their opening three games.
But Meyler is relishing the opportunity for his side to prove they have what it takes to compete.
"You look at the list and you see the first two away games are against Chelsea and Manchester City, so it's going to be tough," said Meyler.
"We're all looking forward to it and it's going to be amazing. It's what we all worked so hard for last season isn't it?
"We've got the likes of Manchester United and Manchester City coming to the KC and it's going to be brilliant. It's great for the city of Hull and it's going to be great for the players as well.
"I'm sure the manager will have us all fired up and ready to go for that opening game against Chelsea.
"Jose Mourinho will do the same with his players and they'll be hoping to win the league. It will be tough, but maybe we can spoil his party."