[1] On November 16, 2005, Monroe transferred from Central Florida to George Mason after receiving interest from more than 40 Division I schools before selecting the Patriots.

[2] In 2009, Monroe started his professional career with Aris Leeuwarden of the Dutch Eredivisie, where ranked third in the league in scoring at 16.9 points per game, to go with 7.6 rebounds, 3.3 assists and 1.6 steals, shooting 55.8 percent from the field.

[3] In 2010, Monroe signed with SO Maritime Boulogne of the French LNB Pro B, where he averaged 12.8 points, 7.8 rebounds, 2.3 assists and 1.5 steals per game, shooting 60 percent from the field.

Monroe was a key contributor in an unexpected run by a young Boulogne club to the league semi-finals, including an upset of the highly-touted SPO Rouen Basket.

[6][7] Monroe helped Verona win the Italian LNP Cup after recording a double-double of 19 points and 14 rebounds in the final game against FMC Ferentino.

[10] On February 24, 2016, Monroe recorded a double-double with a season-high 30 points and 13 rebounds, shooting 13-of-19 from the field, along with five assists in an 84–86 loss to Maccabi Ashdod.

[12] On June 6, 2016, Monroe recorded 29 points, shooting 14-of-17 from the field, along with six rebounds in the final game against Hapoel Jerusalem, leading Rishon LeZion win its first Israeli League Championship after an 83–77 victory.

Monroe helped the Orions reach the KBL Quarterfinals, where they eventually lost to Jeonju KCC Egis.

[17] Monroe led Rishon LeZion to the 2019 Israeli League Final, where he scored a season-high 22 points in an 89–75 loss to Maccabi Tel Aviv.