[4] As a junior, Rodriguez got his highest ranking of Number 10 in the world (January 2010) where he competed in two Grand Slams (Roland Garros and US Open), one Grade A (Copa Gerdau, Brazil) reaching to semifinals, and became the first Venezuelan in the history to play a Youth Olympic Games (Singapore 2010) where amongst with his partner from Paraguay Diego Galeano, lost the match for the bronze medal.

Rodriguez made his first appearance in Davis Cup in February 2012, in the tie played in Caracas against Puerto Rico, for the first round of America's group II.

In the 2013 campaign, Rodriguez went undefeated to take Venezuela into America's group I, winning 4 singles in 3 ties (Guatemala, Peru, El Salvador).

In February 2018, Rodriguez breaks the record of most singles victories in the history of Venezuela's Davis Cup, by beating the player number 1 of Guatemala Christofer Diaz with scores of (4-6, 6–3, 6-0) and clinching the last point to win the tie.

Combined, he had a positive record of 317-196 (W-L), with a total of 11 titles in three different continents, which made him the best ranked player of Venezuela in 2020.