She discussed in an interview with Jet magazine the surgery she had last month, but People.com said she did not confirm reports she is being treated for pancreatic cancer.
"I am not going to even deal with that," Franklin told Jet.
"I don't have to talk about my health with anybody other than my doctors," she said. "The problem has been resolved. ... I am not one to do a lot of talking about my personal health or business. ... There are a lot of people who will talk about anything, as long as there is somebody listening. That's not Aretha."
The singer said "a very hard pain in my side" at a concert in Toronto last year alerted her something was amiss. She said she told her doctor about the pain and he immediately ordered tests.
"Thank God he said that because that unfolded everything, what the problem was and everything," she said.
Notable deaths of 2014 [PHOTOS]
Gwen Stefani finishing new solo album in Miami