"Our focus was on this game tonight," Kelly said. "If for some reason, someone wanted to talk to me, it's because of those players over there. We have an unbelievable team, an unbelievable program and any success is because of those guys."
Teams that had their national title aspirations end on the same day, Oregon and Kansas State ended up in the desert for a marquee matchup billed as a battle of styles: The fast-flying Ducks vs. the execution-is-everything Wildcats.
With Kelly reportedly talking to several NFL teams, Oregon (12-1) was too much for Kansas State and its Heisman Trophy finalist, Collin Klein. The Ducks tried to turn the game into a track meet, and it worked from the start.
Thomas followed his before-everyone-sat-down kickoff return with a 23-yard touchdown catch, finishing with 195 total yards.
Kenjon Barner ran for 143 yards on 31 carries and scored on a 24-yard touchdown pass from Marcus Mariota in the second quarter. Mariota later scored on a 2-yard run in the third quarter, capped by an obscure 1-point safety that went in the Ducks' favor.
Even Oregon's defense got into the act, intercepting Klein twice and holding him to 30 yards on 13 carries.
"We got beat by a better team tonight, combined by the fact that we let down from time to time," Kansas State coach Bill Snyder said.
Whether Kelly leaves Eugene or not, he had a good run, leading the Ducks to four straight trips to BCS bowls, the last two wins.
"It's amazing," said Barner, a senior. "Just to go out like this, the Fiesta Bowl with my teammates, the coaching staff, I couldn't be happier."
Last year's Fiesta Bowl was an offensive fiesta, with Oklahoma State outlasting Stanford 41-38 in overtime.
The 2013 version was an upgrade: Nos. 4 and 5 in the BCS, two of the nation's best offenses, dynamic players and superbly successful coaches on both sides.
Oregon has become the standard for go-go-go football under Kelly, its fleet of Ducks making those shiny helmets green like Christmas tree bulbs for the Fiesta Bowl and flashy uniforms blur across the grassy landscape.
Their backfield of Thomas, Barner and Mariota made up a three-headed monster of momentum, each one capable of turning a single play into a scoring drive of 60 seconds or less.
Mariota has been the show-running leader, a question mark before the season who ably ran Oregon's high-octane offense as the first freshman quarterback to start for the Ducks since Danny O'Neil in 1991.
Oregon won the Rose Bowl for the first time in 95 years last season and was in position for a spot in the BCS title game this year before losing a heartbreaker to Stanford on Nov. 17.
Like the Ducks, the Wildcats had their national-title hopes stamped out on Nov. 17, blown out by Baylor with a rare letdown on both sides of the ball.
Storylines Oregon 35, Kansas St. 17
R Oregon needs only 12 seconds to score its first touchdown, a kickoff return for 94 yards by DeAnthony Thomas.
• Oregon's Kenjon Barner runs for 143 yards.