Detroit trailed by one before Kinsler sent an 81-mph slider from Jerome Williams to left-center for a 4-2 lead.
Verlander allowed two runs in seven innings and Phil Coke struck out three batters in the tenth inning for his first save of the season.
Vizquel, the first base and infield coach for the Tigers, remains wildly popular with Indians fans, who gave him a standing ovation on Saturday.
Cincinnati Reds’ veteran second baseman Brandon Phillips decided to retaliate, tossing a game ball up to a fan with a personal message written on it.
The game was delayed for a short time, but it didn’t even appear that the players felt threatened at all.
The jeers kept coming in the next inning when Kansas City scored four runs — one earned — on four hits and two errors off Evan Reed.
The 38-year-old Hunter has played in 60 of 66 games this season, hitting .266 with nine homers and 35 RBIs for the Tigers.
“So if you’re going to be upset about everybody going out there and pitching there ass off, I don’t have anything to say about that.”
Suarez’s homer came moments after former Tigers star Magglio Ordonez was shown on the videoboard, receiving a huge ovation.
Detroit left seven on base while Drew Smyly (3-4) gave up one run, four hits and three walks over six innings.