[2] A youth player at Feyenoord, Martina began his senior career with RBC Roosendaal in the Eerste Divisie, followed by two seasons each at Eredivisie clubs RKC Waalwijk and FC Twente.

[11] Martina played 59 games across all competitions for the Enschede club, scoring once: an added-time equaliser in a 2–2 home draw with Feyenoord on 23 February 2014.

[15] Three days later, he made his league debut as a half-time substitute for fellow new signing Cédric Soares in a 2–2 draw against Newcastle United.

[18] On 17 July 2017, following his release from Southampton, Martina joined fellow Premier League side Everton on a three-year deal, reuniting with his former Saints manager Ronald Koeman.

[19][20] Martina made his league debut for Everton on 12 August, when his club beat Stoke City 1–0 at Goodison Park.

He played the first half of the 1–0 friendly loss to the Dominican Republic at the Estadio Panamericano in San Cristóbal, before being substituted for Kenny Kunst.

[32] Martina was part of the Curaçao squad that won the 2017 Caribbean Cup in Martinique, defeating Jamaica 2–1 in the final.

[35] At the 2019 CONCACAF Gold Cup, Martina was again captain and played every game up to a 1–0 loss to hosts the United States in the quarter-finals in Philadelphia.