That doesn't surprise Guillen.
"He one of the smartest guys, the smartest catcher," Guillen said. "He's the one that got that pitching staff going that way about [its] business.
"You want to guess and you're looking for a pitch, it's like Jason is reading your mind. And the pitchers listen to him about the pitch he wants in a certain situation. You think, 'OK, I'm going to take a pitch,' and here you go, he comes with a strike there; and you want to swing, he comes with a breaking pitch."
Varitek, the Red Sox captain, has been with them since 1997, and he has caught the most games in club history, 1,179.
"He's a big value to this team, and they should be proud of what they have there," Guillen said. "He's a special guy. That's a lot of work to do to be a catcher. It's not just catching the ball and throwing it back to the pitcher.
"You've got to be pretty smart and know the situation and, from what I understand, he's a big student of the game. He studies every hitter and he gets in your head. He's pretty special."
Guillen came the closest to getting a hit against Lester, but his sinking liner in the fourth inning was plucked by center fielder Jacoby Ellsbury.
"I didn't hit it hard, I hit it pretty much off the end of the bat," Guillen said. "I really thought that ball was going to drop."
The Royals' Mark Grudzielanek said the possibility of a no-hitter really didn't hit him until after he was pulled out of the game in the seventh inning with the score 7-0.
"I wasn't even thinking about a no-hitter, but when we came up in the seventh or eighth, I thought, 'OK, we've got to do this right now,'" he said. "It's a weird feeling, as far as being on the other side of a no-hitter. A strange feeling."
Royals manager Trey Hillman didn't really consider the possibility "of being on the wrong side of history" until after the eighth inning.
"But I was still hopeful, because we had a different hitter in there for him to see in [Alberto] Callaspo, who is typically more patient," Hillman said. "But that's tough duty when a guy's got that kind of stuff."
With the 37-year-old Grudzielanek being rested, Callaspo batted in his spot. He whistled a ground ball foul, but Lester struck him out to end the game.
Royals catcher Miguel Olivo wasn't thinking no-hitter.
"Not really, because my last two at-bats, I thought I was going to get a hit," Olivo said. "I felt very comfortable, but he got everything together. He was really nasty, he never repeated the same pitch to me in any at-bat."
Olivo was on the other side of a no-hitter in 2006, catching Anibal Sanchez's gem for Florida against Arizona.
"I want to catch another one," Olivo said. "Maybe two more."