Lewandowski, 29, demanded Bayern sign more world-class players to compete with the world's elite.
In an interview with Bild, Rumenigge discussed, among other things, Lewandowski's views about the club and its recruitment policy for players. If I drop dead tomorrow, there will be a funeral, yet on Friday, 11 players will still be out on the pitch.
Rummenigge's broadside was also aimed at Thomas Müller after the Bavarian fan favourite complained about being put on the bench against Werder Bremen two weeks ago, saying: "I don't know exactly what qualities the coach is after but mine obviously aren't needed".
Bayern Munich coach Carlo Ancelotti says he sees no need for talks with Robert Lewandowski following an interview in which the Poland global was critical of the club's transfer dealings. I am predicting that to be the result which means a big win for Bayern Munich.
Lewandowski said he feared Bayern would be left behind if they did not invest heavily in the transfer market. Rather than Lewandowski, I share the viewpoint of the Chancellor [Angela Merkel], who says we should regulate and reduce the amounts. He is employed with us as a football player and earns a lot of money.
Bayern's next fixture takes place at the Allianz against Anderlecht in the Champions League on Tuesday.
Asked about Bayern president Uli Hoeness' long-term admiration of his talents, he said: "It's pleasing when a man like Uli Hoeness, who made Bayern great, rates you a bit". I regret his comments.
'Whoever publicly criticises the club or his team-mates will get in trouble with me personally.