[5] Stovell was selected in Bermuda's squad for the 2011 World Cricket League Division Two in the United Arab Emirates.
[10][11] Bermuda's coach, David Moore, expressed disappointment after the match over Stovell not staying at the crease for longer.
[26][27] In April 2018, he was named as the vice-captain of Bermuda's squad for the 2018 ICC World Cricket League Division Four tournament in Malaysia.
[29] In August 2019, he was named as the captain of Bermuda's squad for the Regional Finals of the 2018–19 ICC T20 World Cup Americas Qualifier tournament.
[31] In September 2019, he was named as the captain of Bermuda's squad for the 2019 ICC T20 World Cup Qualifier tournament in the United Arab Emirates.
[34] In October 2021, he was named in Bermuda's squad for the 2021 ICC Men's T20 World Cup Americas Qualifier tournament in Antigua.