Born in Milton Keynes, England, Robinson came through Everton's academy, having been with the academy since the age of 11. In June 2013, he signed a scholarship with the club, becoming a full-time player. While at the U18's side, however, Robinson suffered injuries that saw him sidelined most of the time and appeared for the U21 towards the end of the 2014–15 season. As a result, he was awarded the club's Under-18 Players' Player of the Season. At the end of the 2014–15 season, he signed his first professional contract with the club after being offered a new contract. However, Robinson spent the most of the 2015–16 season sidelined on the cartilage under his kneecap, resulting in him having an operation. Despite this, he signed a one-year contract extension on July 15, 2016. Robinson then played all three matches in the EFL Trophy, which saw Everton U23s eliminated in the Group stage. He also became a regular for the U23 side. At the end of the 2016–17 season, Robinson signed a two-year contract extension with the club.
On August 4, 2017, it was announced that Antonee Robinson had signed on loan with Bolton Wanderers until January 2018. Five days after joining the club, on August 9, 2017, he made his debut in a 2–1 League Cup win at Crewe Alexandra. Two weeks later, on August 22, 2017, he set up a goal for Jem Karacan to score the club's third goal in a 3–2 win over Sheffield Wednesday in the League Cup. He made his league debut for the side on September 9, 2017, in a 3–0 loss against Middlesbrough, playing the full 90 minutes. Robinson then established himself in the left-back position, beating out competition from Andrew Taylor. It was announced on January 5, 2018, that Robinson had agreed to stay at Bolton for the remainder of the season.
Wigan Athletic
On July 15, 2019, Robinson joined Wigan Athletic on a permanent three-year contract. He made his debut for Wigan against Rotherham United and scored his first goal for the club in a 2–2 draw at Millwall on November 26, 2019. After impressing for Wigan in the EFL Championship as one of the league's top left backs, Robinson was set to sign with Serie A side AC Milan for $13 million before the transfer deadline of January 31, 2020. However, the deal fell through when Robinson's medical examination at Milan revealed a heart rhythm irregularity for which further testing could not be completed before the deadline, and for which he would undergo an ablation procedure as treatment.
International career
Robinson was eligible for both England and the United States, having been born and raised in Milton Keynes, England to an American father from White Plains, New York. Robinson was first capped at under-18 level with the United States. He was also called into the United States under-20 side, although was not capped. In March 2018, Robinson was invited to both the United States senior and England under-21 camps, and accepted the United States senior call for a friendly against Paraguay in which he was named to the bench. On May 28, 2018, he made his United States senior debut, playing the full 90 minutes in a 3–0 friendly win against Bolivia and recording an assist.