The Staggies boss said that his team created more than their opponents in the final third and were the better team throughout the match.
"Over the 90 minutes, we had more opportunities than Celtic. The best team on the day won the match. From our point of view, throughout the side they were great," he told BBC Sport.
Steffen Wohlfarth headed County's winner one minute into stoppage time to secure a memorable victory for the home side.