Ba signed from Newcastle in January to support Fernando Torres, but with Romelu Lukaku back from his loan at West Brom and Chelsea's pursuit of Manchester United striker Rooney ongoing, there has been speculation that his time at Stamford Bridge could soon end.
Jose Mourinho has insisted none of his players will be sold, but Ba would fall down the pecking order if Chelsea can successfully recruit Rooney, for whom they had a bid turned down last week.
"I will stay," Ba said. "I think we need competition and we welcome the best players in this club.
"More competition is going to make me better anyway. All players want to play, not only centre forwards.
"We will all work in the same direction, for the club, to try and win the games."
Ba scored in the final match of the Asia tour, an 8-1 victory over the BNI Indonesia All-Stars in Jakarta.
Competition for places will resume - without Rooney - next week when the squad reconvene at their Surrey training base ahead of four matches in the United States, beginning against Mourinho's former club Inter Milan next Thursday.
Torres and five other players involved in the Confederations Cup - Juan Mata, Cesar Azpilicueta, David Luiz, Oscar and John Obi Mikel - will join up with the squad after missing the three-match tour to Bangkok, Kuala Lumpur and Jakarta.
Mourinho declared the tour of Asia a success after rapturous receptions in each location, including on the Blues' first trip to Indonesia.
Source: PA
Source: PA