Real midfielder Federico Valverde was named UEFA's man-of-the-match, but Lunin had made a strong case to be handed the award after making two saves in their 4-3 shootout win after an inspired performance as they drew their quarter-final second leg 1-1.
Silva's penalty was struck tamely straight down the middle of the goal but Lunin said that a decision taken before the shootout with Real's coaches enabled him to make what turned out to be an easy save.
"I needed to take a risk with one of the kicks, we picked one (to stay in the middle) and thank goodness it worked out in our favour," Lunin told Movistar Plus+ with a sigh of relief.
"It's an away Champions League game and we went through a lot of suffering... but I'm very grateful to the team for everything they've fought for. I can't imagine myself running like my teammates did today."
The Ukraine keeper was forced to wait for his chance at Real, having been behind Belgium star Thibaut Courtois in the pecking order.
Before this season, he had made only nine Spanish league appearances for the club since signing from Zorya Luhansk in 2018.
He spent his first two seasons in Spain on loan at Leganes, Valladolid and Oviedo, but after Courtois tore his ACL earlier this season, he was given the chance to battle for a starting spot with Kepa Arrizabalaga, who had been signed on a season-long loan deal from Chelsea.
Lunin eventually asserted himself as the first choice and his performance on Wednesday will have gone a long way towards proving to fans and pundits that he deserved his chance.
"There are games that you have to suffer, that you have to overcome the challenges, that you can't always play with the ball and be the best team on the pitch. Tonight was like that," Lunin said.
"For me, it has been a great experience. I'm exhausted, it's the first time in my career that I play a game like this, 120 minutes, penalties, the pressure and the responsibility. It's hard to explain the feeling."
