But responding to the speculation on Bayern's pre-season tour of China, Rummenigge told Sport Bild: "We know that de Jong's agent offers him everywhere.
"But it is not true to say there is interest from FC Bayern."
De Jong, who has previously played in the Bundesliga with Hamburg, joined City in 2009 but saw his first-team chances limited last season as the club secured their first league title in 44 years.
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.