Vincent received news of his promotion around 11 p.m. Thursday. At the time, he was on his way home to his apartment after a Triple-A game in Tucson.
"Last night, when it happened, I couldn't talk or think," he said.
Vincent revealed his promotion on Twitter, tweeting at 12:22 a.m. Friday: "Heading to petco tomorrow. #sothankful #excited."
"It's pretty crazy," he said. "Now playing for a hometown team, for a professional team, is unreal."
Vincent began the season rehabbing from an ankle injury suffered during Spring Training. He said his left ankle partially dislocated when he stepped on a baseball in the bullpen during a spring game. He had been talking to a teammate and doing stretches when he suffered the injury.
He left extended spring camp and pitched his first game this season with Tuscon on May 10. He made three appearances there, allowing four runs, striking out two and walking one in 2 1/3 innings.
Vincent saw the number of injuries the Padres have suffered this season and wondered when his chance would arrive.
"I was like, 'This is a bad year to get hurt for me,'" he said. "But I've pitched in three games and now I'm up here, so it's pretty surreal to me."
Vincent went 8-2 with a 2.27 ERA in 66 relief outings last season for Double-A San Antonio. The Padres put him on their 40-man roster this past offseason. He impressed the Padres in Spring Training before the injury occurred.
"He's a guy our Minor League people thought could at some point make our roster," Padres manager Bud Black said. "[It's] unfortunate that he suffered that severe ankle sprain, but we'll see now. The way that it's gone, there are lots of opportunities so far for guys. He's a guy that pitched his way onto the 40-man roster and will be given a look here in the near term."