On 1 October 2012, Baroja received his first call-up to the
Venezuelan senior side, for a match scheduled to be played against
Ecuador on 16 October 2012 for the
2014 FIFA World Cup qualification, but he didn't play. He was called again to play a friendly match against
Nigeria but he didn't play either. Under the new management of
Noel Sanvicente, Dani Hernandez was used as first choice goalkeeper in the first 4 friendly games of Sanvicente. In February 2015, there were scheduled 2 matches against
Honduras, but because they were out of the FIFA calendar, Sanvicente could only call players from the
Venezuelan Primera División for the national team. Baroja was chosen as the starting goalkeeper and finally debuted for the national team at age 25. Venezuela won both matches against Honduras and Baroja's performance was very well received. Baroja started again against
Peru on March, a game Venezuela won 1–0 with another good performance of the goalkeeper. On 10 November 2015, Baroja is doubtful for the games with his national team, but his injury isn't serious enough to worry
AEK Athens. Baroja played for a couple of minutes at the end of the game against
Asteras Tripolis suffering two-headed muscle injury. The footballer travelled to Venezuela and according to the National team's medical staff his injury isn't too severe.
2015 Copa America On 12 May 2015, Baroja was named in Venezuela's 23-man squad for the
Copa America 2015 and assigned the number 1 shirt. Initially second-choice to Dani Hernandez, he soon worked his way up to first-choice following some brilliant performances at club level with
Caracas FC and earned his first cap in a competitive match. In the team's opening match of the tournament against
Colombia, he kept a clean sheet and stopped a shot from
James Rodríguez helping the team's victory. Baroja started the next 2 group games of Venezuela and made a world-class save in the last group match, stopping a header from
Brazil's centre-back
Thiago Silva. Despite his good performance in the tournament Venezuela was eliminated in the group stage. == Career statistics==