"She is feeling much better. She is with her family and looking forward to getting back on track,” the statement says.
"I want to thank everyone for their outpouring of love and support," Alexa added to the statement.
The 23-year-old had taken several pills of the homeopathic medication Traumeel over the weekend, and was taken to St. Vincent's Hospital in New York City's Greenwich Village, according to various reports.
Joel is now resting comfortably and is with her father.
According to the New York Daily News, Alexa has canceled a holiday performance this week. She was scheduled to headline the New York Stock Exchange's 86th annual tree lighting ceremony on Thursday.