"It's weird," Guyer said. "I've never seen a win like that."
Cobb (9-6) scattered two hits, walked two and struck out six over seven innings, improving to 7-0 in his last 10 starts. After Brad Boxberger worked out of an eighth-inning jam, Jake McGee got three outs for his 14th save and complete a four-hitter.
"What can I say, man?" Tampa Bay manager Joe Maddon said. "It really lived up to the billing prior to the game. Just happy we won."
Price, traded to the Tigers as part of a three-team deal on July 31, got a standing ovation while taking his warmup throws before the bottom of the first.
"That's probably as good as I've pitched in a game that went my way," Price said. "It's the least amount of hits I've ever given up."
Price, taken first overall by Tampa Bay in the 2007 draft, got the save in the Rays' Game 7 victory over Boston in the 2008 AL championship series and was the 2012 AL Cy Young Award winner.
"All the stuff leading up to the game was awesome," Cobb said. "Definitely, David deserved everything he got from the crowd and leading up to the game with all the hype. Once it became game-time, the facts are we're streaking in the wrong direction a little bit and we definitely needed the win."
Tampa Bay had lost four in a row after becoming just the fourth big league team to reach .500 in the same season after dropping 18-games under the break-even mark. The Rays lead the AL with 16 shutouts.
"Classic pitchers' duel," Tigers manager Brad Ausmus said.
Alex Avila walked and Suarez singled to open the third, but Cobb got a double-play grounder from Davis and Ian Kinsler's grounder. The Tigers also failed score in the seventh when J.D. Martinez struck out and Nick Castellanos hit a flyball with runners on second and third.
Tigers: Miguel Cabrera was the DH one day after aggravating an old right ankle injury sliding at home plate Wednesday night. "Generally speaking he's fine," Ausmus said. ... RHP Justin Verlander (sore right shoulder) threw a light bullpen with "no issues" and is scheduled to start one game in Saturday's doubleheader at Minnesota. He walked into Ausmus' office after the mound session and high-fived the manager.
Rays: C Ryan Hanigan (oblique) is scheduled to play for Class-A Charlotte Friday.
The Rays are the first team since the 1915 St. Louis Terriers of the Federal League to win and lose a one-hit game during the same season. Tampa Bay allowed one hit in a 3-2 loss to Oakland on May 21.
Tigers: Detroit heads to Minnesota for a four-game series that begins Friday night. The second AL wild-card leader trails Central Division-leading Kansas City by 1 1-2 games.
Rays: Tampa Bay opens a seven-game, two-city road trip Friday night against AL East-rival Toronto.
Seattle Mariners decline $14M club option on Dee Strange-Gordon
The Mariners declined their $14 million club option on infielder Dee Strange-Gordon for the 2021 season on Wednesday, making the veteran eligible for free agency.
Arizona Diamondbacks decline 2021 options for Mike Leake, Hector Rondon, Junior Guerra
The Arizona Diamondbacks have declined options for the 2021 season for right-handed pitchers Mike Leake, Hector Rondon and Junior Guerra.
Los Angeles Dodgers-Tampa Bay Rays World Series TV ratings average drops 32% below previous low
The Dodgers' six-game Series win over the Rays averaged a 5.2 rating, 12 share and 9,785,000 viewers, Nielsen Media Research said. The previous low was a 7.6 rating, 12 share and 12,660,000 viewers for the Giants' four-game sweep of the Tigers in 2012.
Snell's gem cut short by Kevin Cash in the sixth inning
Blake Snell pitches a gem for the Rays in Game 6, allowing just two hits and striking out nine in 5⅓ innings, but he is pulled by manager Kevin Cash after allowing a hit in the sixth inning.
St. Louis Cardinals not picking up 2021 option on Kolten Wong
St. Louis declined Kolten Wong's $12.5 million option for 2021, making the longtime Cardinals second baseman a free agent. The Cardinals will pay Wong a $1 million buyout.
Colorado Rockies opt for $6 million buyout to Daniel Murphy
Colorado won't pick up the $12 million option on Daniel Murphy and will instead pay a $6 million buyout to the infielder who failed to flourish in his two years with the Rockies.