The newly promoted side may have gotten their toughest test of the season out of the way in their opening game.
Reigning champions Arsenal brushed Coventry aside at the Emirates thanks to goals from Kai Havertz, Bukayo Saka, and Martin Odegaard.
Despite the loss, Coventry captain Grimes insisted that these aren’t the game they’re depending on to earn Premier League survival.
Speaking to Sky Sports after the game, he said: "It's disappointing obviously, we've not been used to losing for the past year or so, we always knew tonight would be a tough ask.
“At half-time, we spoke about being braver; we wanted to come out in the second half and give a better account of ourselves.
“But the early second-half goal kind of killed the game. When you play such a high level of player and team, little mistakes become big mistakes.”
Can he see the difference from the Premier League to the Championship: "You can feel it, they're so well drilled and they have players everywhere, you've got Martin Odegaard, one of the best in the world, being in those tough spaces.
On what Lampard said at full-time: "Our season won't be defined by coming to places like this and getting beaten, coming here against players like this is always going to be a tough ask."