"I understand we've got a lot of weapons, so I'm not saying I want the ball every play," said Jones, who caught 50 passes for 679 yards and five touchdowns last season. "But I think I deserve to be on the field more than I was."
Jones said he was on the field for approximately 19 of the Packers' 73 offensive snaps Thursday.
"Something like that," Jones said. "Not too good. Not too good. And I want to say half of them were 'jumbo' run plays. I'm here, I practice hard, work hard, do what I've got to do and hopefully the opportunities come my way."
And while he might have complaints about the number of snaps he played, Jones said he isn't unhappy with Rodgers.
"I don't bother Aaron," Jones said. "Aaron throws to the open guy. He's been good throwing to the open guy. Aaron doesn't tell me to sub into the game. So if I'm not in the game, he can't throw it to me on the sideline."
With only so many passes to share among a talented group of receivers, Rodgers pleaded with reporters this week not to make a big deal out of whichever player comes up short on the stats sheet after each game.
"That's going to get a little bit ridiculous," Rodgers said. "It is week one, it's a long season and I'm going to throw it to the open guy."
The Associated Press contributed to this report