The DNC chairwoman is the latest high-profile female Democrat to rebuke Rosen’s remarks.
“Every mother works hard, and every woman deserves to be respected,” First lady Michelle ObamaMichelle ObamaThe Hill's 12:30 Report Obamas dance with R2-D2, stormtroopers on Star Wars Day The Hill's 12:30 Report MORE tweeted moments before Wasserman Schultz.
Republicans on Thursday seized on Rosen’s comments, which could be an opening for the party to close the massive gender gap among voters that exists between Romney and President Obama.
Obama’s campaign sought to distance itself from Rosen, a veteran Democratic strategist, while Romney’s campaign put the candidate’s wife on television, where she urged Rosen to "respect" the choices of other women.
Rosen's comments came during a discussion on CNN's "AC360" on Wednesday in which she criticized Ann Romney, saying that she failed to understand the economic concerns facing female voters.
— Alicia M. Cohn contributed to this report.