In a statement released Monday, Fantasia says she "can't thank my fans enough for their prayers and support during such a challenging time."
The singer overdosed on aspirin and other pills at her home in Charlotte, N.C., last week.
Her manager says she wasn't trying to kill herself, but police believed they were responding to a suicide attempt. The overdose came days after a woman accused Fantasia in court documents of having an affair with her husband.
The former "American Idol" winner will make TV appearances, including stops at "Good Morning America" and "Live with Regis & Kelly," in the next couple weeks to promote her third album. The CD, titled "Back to Me," is out on Aug. 24.