Kimmich was speaking following the death of George Floyd, an unarmed black man who died in police custody in Minneapolis last week. Floyd's death has triggered a wave of outrage and protests in the United States.
Several players in the Bundesliga, including Borussia Dortmund's Jadon Sancho and Achraf Hakini, displayed their support for the protests during matches last weekend and Kimmich said Bayern had discussed making a joint protest.
"As a football player you have a big power in this world. My opinion is we should feel this responsibility and say something like Sancho did," Kimmich told reporters.
"What we say to people outside gives us a big chance to make a statement. We discussed it, and maybe we can do something. We have to do something because we cannot give something like this (racism) a place."
The German Football Association has said Bundesliga players are free to express their support for protests after the game's world governing body FIFA asked competition organisers to use "common sense" in dealing with such incidents.
COMMENTS
Comments are moderated and generally will be posted if they are on-topic and not abusive.
For more information, please see our Comments FAQ