"Yes! Sure! Absolutely!," said the 42-year-old star, who is currently starring in musical 'If/Then'.
Menzel sun 'Let It Go' won the Best Song Oscar last month.
"It was such a dream of mine to be in the Disney family and become an animated queen," Menzel told Cosmopolitan.
'Frozen' has become the highest-grossing animated movie in history.
Like Menzel, costar Kristen Bell has also expressed interest in reprising her role as princess Anna on Broadway.
"Everybody in Frozen is a Broadway veteran so I certainly hope they try and wrangle us," Bell had said in an interview.