Selected in the fifth round of the 2011 MLB draft by the San Diego Padres out of Georgia Tech. At Georgia Tech, Pope was named second team All-American by Louisville Slugger in 2011 and first team All-Atlantic Coast Conference. Pope was a semifinalist for the Golden Spikes Award and quarterfinalist for Pitcher of the Year. Holds the Georgia Tech modern record with four career complete-game shutouts. Was also selected by the Atlanta Braves in the 17th round of the 2008 Draft, but did not sign.
In 2011, Pope began the season with the Arizona League Padres, appearing in just one game before being sent to the single-A Eugene Emeralds. In Eugene, he went 3-1 with a 3.41 ERA in 10 games out of the bullpen and 29.0 innings pitched. In 2012 Pope spent the year with the single-A Lake Elsinore Storm, posting a 7-8 record with a 6.13 ERA in 30 games with 20 starts over 111.2 innings. He also appeared in one game in 2012 with the triple-A Tucson Padres, going 0-1 with a 7.20 ERA in one game.
In 2013, Pope signed with the Atlanta Braves and spent time with the Lynchburg Hillcats, going 0-2 with a 12.27 ERA in five starts.