Atack, who is performing to Burke's track 'Bad Boys' tomorrow, explained that the X Factor winner had turned up to advise her on her performance.
Burke reportedly told the Inbetweeners actress to "kill it" when she competes.
"It was amazing," Atack told the Daily Record. "I am such a huge fan of Alexandra and I was really starstruck to meet her.
"All the advice she gave me was so helpful and it's what I needed to hear. We only have a short time to perform and she said I must channel my nerves."
Dancing On Ice continues tomorrow at 6.45pm on ITV1.