The NFC East side will face divisional rivals the New York Giants next weekend, having beaten the same opponents in week one last year.
The wide receiver told the team's website: "It's what everybody wants to see. Both teams are going to come in, and we want to put on a show.
"It doesn't matter who we play, just because it's the beginning of the season. Football is back. Pre-season is not the season. That football is totally different from the actual game. Everything counts. You've got the starters playing. We're looking to battle all four quarters."
Bryant had 1,382 receiving yards and scored 12 touchdowns for the Cowboys last season.