A spokeswoman for the Minneapolis-based company says Buffalo Wild Wings is in touch with Twitter and "will pursue the appropriate action against the individuals involved."
The company apologized on its Twitter account, saying the posts "obviously did not come from us."
The posts reportedly had a wide-range of offensive remarks from using the N-word, offending competitor Wendy's and remarking about a 'secret ingredient' at Buffalo Wild Wings.
One tweet even had a remark about the missing British girl Madeline McCann.
Known for its sports bar fare such as chicken wings, Buffalo Wild Wings was purchased in a deal finalized earlier this year by Roark Capital Group, which owns Arby's restaurant chain.