Clarets number one Tom Heaton was ruled out of the weekend clash against City with a calf injury suffered in the defeat at West Brom, meaning Dyche had to turn to the 37-year-old.
It was Robinson's first Premier League appearance since May 2012 and his first senior game for more than two years but he did not show any rustiness and made one particularly fine save to deny Sergio Aguero.
It remains to be seen how long Heaton will be on the sidelines for, but Dyche is not too concerned as he believes the former Blackburn star is a more than able deputy.
"He's different class," Dyche said. "I see him in training every day. He's as lean and fit as he's ever been, he's mentally clear on what he needs to do and there's a calmness to him.
"His save in the first half is top drawer. Forget about age. It wasn't a major decision for me."