Wales, who were close to sharing spoils with their eastern European opponent managed to keep their Euro 2020 qualification hopes alive with a late strike from Gareth Bale.
Showing appreciation to the performance by the Real Madrid forward, Giggis has praised his starman for a superb display for the side.
“Obviously Gareth has scored so many important goals for Wales over the years,” Giggs said.
“Usually when he scores he keeps scoring, so I was glad to see him score for Real Madrid last week.
“Just like the rest of the lads he showed great character, kept going to the end, I am really pleased for him.
“We were too hasty to get to the goal, too rushed. I’ve been in games like that before, you’re never sure whether to stick or twist. There weren’t enough players in good form in the first half.
“I wasn’t happy with the first half. We didn’t play well and we didn’t stick to the game plan.
“I knew 1-0 wouldn’t be good enough, I was frustrated. We had a lot of possession but we did not move the ball quick enough.
“We weren’t patient and that is what they are good at, sitting back in their shape, win the ball and sprint forward.
“We always work hard and we will learn from it.
“We will enjoy this because it’s not easy to win points in this group.”