While playing with Croatia's Under-16 national team, Šarić was named the Most Valuable Player of the 2010 FIBA Europe Under-16 Championship in a unanimous vote, after leading the tournament in scoring (24.3 ppg) and rebounding (11.5 rpg), and finishing second in assists (5.8 apg).
He registered a triple-double (30 points, 11 rebounds, 11 assists) in the final, becoming only the second player to do so (after Ricky Rubio in 2006).

He won a gold medal with Croatia's Under-18 national team in the 2012 FIBA Europe Under-18 Championship, where he finished first in scoring (25.6 ppg) and second in rebounds (10.1 rpg).
Soon after scoring 39 points to lead Croatia to victory in the gold medal game against Lithuania, Šarić was voted unanimously as tournament MVP.

Šarić also played with Croatia's Under-19 national team in the 2011 FIBA Under-19 World Cup, where he finished fourth in scoring (18.1 ppg) and third in rebounds (10.1 rpg), despite being one of the youngest participants at 17 years of age.
He also played at the 2013 FIBA Under-19 World Cup, where he averaged 20.3 points, 11.2 rebounds, 4.9 assists per game, and was named to the All-Tournament Team.

Šarić represented the senior men's Croatia men's national basketball team at a major FIBA tournament for the first time at EuroBasket 2013, where he averaged 5.5 points, 3.2 rebounds, and 0.9 assists per game.
He then played with Croatia's senior men's team at the 2014 FIBA World Cup, where he averaged 11.7 points, 6.7 rebounds, and 2.3 assists per game.

He also played with Croatia at the EuroBasket 2015, where they were eliminated in the eighth finals by Czech Republic.
Over 6 tournament games, he averaged 9.7 points, 6.3 rebounds, and 2.7 assists per game, on 44.7% shooting from the field.

Šarić played with Croatia at the 2016 Olympic games, where they were eliminated in the quarter-finals by Serbia.
Over 6 tournament games, he averaged 33.1 minutes, 11.8 points, 6.7 rebounds and 3.2 assists per game, on 43.1% shooting from the field.

Šarić represented Croatia at the EuroBasket 2017.
Croatia was eliminated in the round of 16 by Russia.
Over 5 tournament games, he averaged 32.4 minutes, 14.8 points, 6.7 rebounds, and 2.5 assists per game, on 37.4% field goal shooting.
While playing with Croatia's Under-16 national team, Šarić was named the Most Valuable Player of the 2010 FIBA Europe Under-16 Championship in a unanimous vote, after leading the tournament in scoring (24.3 ppg) and rebounding (11.5 rpg), and finishing second in assists (5.8 apg). He registered a triple-double (30 points, 11 rebounds, 11 assists) in the final, becoming only the second player to do so (after Ricky Rubio in 2006).
He won a gold medal with Croatia's Under-18 national team in the 2012 FIBA Europe Under-18 Championship, where he finished first in scoring (25.6 ppg) and second in rebounds (10.1 rpg). Soon after scoring 39 points to lead Croatia to victory in the gold medal game against Lithuania, Šarić was voted unanimously as tournament MVP.
Šarić also played with Croatia's Under-19 national team in the 2011 FIBA Under-19 World Cup, where he finished fourth in scoring (18.1 ppg) and third in rebounds (10.1 rpg), despite being one of the youngest participants at 17 years of age. He also played at the 2013 FIBA Under-19 World Cup, where he averaged 20.3 points, 11.2 rebounds, 4.9 assists per game, and was named to the All-Tournament Team.
Šarić represented the senior men's Croatia men's national basketball team at a major FIBA tournament for the first time at EuroBasket 2013, where he averaged 5.5 points, 3.2 rebounds, and 0.9 assists per game. He then played with Croatia's senior men's team at the 2014 FIBA World Cup, where he averaged 11.7 points, 6.7 rebounds, and 2.3 assists per game.
He also played with Croatia at the EuroBasket 2015, where they were eliminated in the eighth finals by Czech Republic. Over 6 tournament games, he averaged 9.7 points, 6.3 rebounds, and 2.7 assists per game, on 44.7% shooting from the field.
Šarić played with Croatia at the 2016 Olympic games, where they were eliminated in the quarter-finals by Serbia. Over 6 tournament games, he averaged 33.1 minutes, 11.8 points, 6.7 rebounds and 3.2 assists per game, on 43.1% shooting from the field.
Šarić represented Croatia at the EuroBasket 2017. Croatia was eliminated in the round of 16 by Russia. Over 5 tournament games, he averaged 32.4 minutes, 14.8 points, 6.7 rebounds, and 2.5 assists per game, on 37.4% field goal shooting.
Dario Šarić