Before beginning his professional career, Schuster attended J. West. Mitchell High School in New Portuguese Richey, Florida, and starred for their baseball team Schuster attended J. West. Mitchell High School in New Portuguese Richey, Florida.
Selected by the Arizona Diamondbacks in the 2009 MLB Draft, the San Diego Padres acquired him in the 2013 Rule 5 Draft. He was returned to the Diamondbacks before the season began. He played for the school"s baseball team as a pitcher.
On April 15, 2008, Schuster tied a 51-year-old Pasco County record by striking out 20 batters in one game.
In April 2009. Schuster threw four consecutive no-hitters for Mitchell"s baseball team, a Florida state record. He committed to attend the University of Florida on a scholarship to play college baseball for the Florida Gators baseball team
Baseball America rated Schuster as the 79th best prospect in the nation. The Arizona Diamondbacks selected Schuster in the 13th round of the 2009 MLB Draft.
Schuster signed with the Diamondbacks for a reported $450,000 signing bonus, forgoing his commitment to the University of Florida.
He began his professional career as a starting pitcher, but transitioned to relief in 2012. In the 2013 season, he pitched for the Visalia Rawhide of the Class A-Advanced California League. Schuster was chosen by the Houston Astros with the first selection of the 2013 Rule 5 Draft on December 12, 2013.
He was immediately sent to the San Diego Padres as the player to be named later in the trade of Anthony Bass to the Astros from the previous day.
After competing for a spot in the Padres" bullpen, Schuster was cut by the Padres on March 24 and put through waivers. He was claimed by the Kansas City Royals the next day.
According to team sources, the Royals claimed Schuster in order to designate Carlos Peguero for assignment, with the hope that he would pass through waivers. He was returned to the Diamondbacks on March 27.
Schuster began the 2014 season with the Mobile Bay Bears of the Class Associate of Arts Southern League, and was promoted to the Reno Aces of the Class American Automobile Association Pacific Coast League in July.
Schuster began the 2015 season with Mobile. On June 23, 2015 The Cincinnati Reds acquired Schuster. Schuster signed with the Oakland Athletics in November 2015.
