The club's chairman says interest from England and Italy has not been entertained as Pep Guardiola considers the Switzerland attacker an important player
The Switzerland star made just 10 starts in the Bundesliga for Bayern last season, though he still netted six goals and went on to become the standout performer for his country at the World Cup this summer.
Shaqiri has been heavily linked with a possible move to Liverpool, with Serie A giants Juventus and Roma also rumoured to be considering a bid for the 22-year-old.
Rummenigge has confirmed there has been significant interest in the player but insists he remains a valued part of Pep Guardiola's first-team plans.
"We've had several enquiries from teams in England and Italy. I've never had a conversation because we are convinced he will have a good career with us. He must stay healthy, [but] the coach is convinced by him," he told the club's official website.
Bayern are set to complete a deal for goalkeeper Pepe Reina in the coming days but Rummenigge suggested there would not be a large number of arrivals this summer.
"We have a good team. Pep wants 18 top players and five or six talents. He is very happy with his squad, he does not want unhappy players sitting in the stands," he said.
Borussia Dortmund became incensed by Rummenigge's public talk of Marco Reus' buyout clause after the winger was linked with a switch to the Allianz Arena.
The 58-year-old believes the two clubs retain a large amount of respect for each other, as proven by the mentality within Germany's World Cup-winning squad.
"A friendship seems to have sprung up between the players at the World Cup. This is a good thing," he added.
"We are competitors, both clubs want to fight for the championship, but we have respect for each other, no question."