According to reports in Spain, Ligue 1 champions PSG have made a bid of 40million euros to try and take the 26-year-old Spain international to France.
However, Rosell on Tuesday poured cold water on that, telling reporters: "There is no offer from PSG for Pedro."
Pedro, who has been at Barca for almost a decade, has also said he is not looking to leave the Nou Camp.
He said in Marca: "I'm only thinking of triumphing at Barcelona, but it its an honour that other clubs look at you."
Rosell was speaking at Tuesday's official presentation of the sponsorship agreement between Barcelona and Qatar Airways, which became the club's main global partner on July 1.
The deal lasts until June 30, 2016, when the contract Barca signed with Qatar Sports Investment in 2010 is scheduled to end.
It was announced last November that Qatar Airways would appear as Barca's shirt sponsor in the 2013/14 season in place of Qatar Foundation.
Barca vice-president for economy and strategy Javier Faus said at Tuesday's presentation: "It is the biggest shirt deal ever. There are payments to come of 30.5, 32 and 33.5 million euros. And there is also a bonus of five million euros if we win the Champions League and we hope we can do just that in the next three years."
Faus added: "The agreement opens new markets that we were finding it hard to get to. It offers worldwide coverage that will help our marketing department."
It was also confirmed on Tuesday that Barca midfielder Sergio Busquets has put pen to paper on his new contract with the club.
The Spain international's new deal ties him to the Primera Division champions until the end of the 2017/18 season with the option of an additional year after that. The buy-out clause in Busquets' contract is 150million euros.
Busquets has spent his entire senior career at Barca and has made 238 appearances to date for the Catalan club.
The 25-year-old has been a key figure in the Barca midfield for the last five years, helping the team win four La Liga titles, two Copa del Rey trophies and two Champions Leagues during that time.
Barca have also announced that Cristian Tello will sign his new contract on Friday morning.
The 22-year-old forward's new deal will also run until the end of the 2017/18 season and will have a buy-out clause of 25 millions euros.
Tello scored eight goals in 34 first-team appearances last season and also featured in Barca's 7-0 mauling of Levante in their opening game of this campaign.