Picault was born to Haitian immigrants in New York City. Picault comes from a multigenerational soccer lineage. His grandfather played for the Haitian national team, while his father Leslie played professional indoor soccer with the Philadelphia Fever in the MISL. He grew up in the Upper West Side, near Riverbank State Park along the Hudson River, where he played his first game. At the age of nine, his parents moved with him to Miami for a change of life. When he was sixteen, he moved to Italy to begin his youth career, where he learned Italian and connected with the culture.
Club career
Picault started his career with the youth and reserve team of Italian club Cagliari, but later parted ways with the club after five years, for unknown reasons. He has commented on being subjected to frequent racism during his time in Sardinia.
He later attended the NASL player combine in 2012 and impressed scouts working for Tampa Bay Rowdies, and later signed a one-year deal with the club. Picault is known for his quickness and pace combined with his vision and technical abilities. Prior to starting his career with the Rowdies, Picault suffered a broken foot bone cause him to be sidelined through the preseason and first month and a half of the regular season. He made his professional debut in a 3–2 victory against Atlanta Silverbacks on May 19, 2012. Making 18 appearances in league play, Picault help the Rowdies win Soccer Bowl 2012, but would register no goals. After the end of the 2012 NASL Season, the Rowdies declined the contract option for Picault.
He returned for a second spell in the NASL with the Fort Lauderdale Strikers ahead of the 2014 season. Picault would experience a breakout season with the Strikers, hitting 12 goals in 24 appearances during the 2014 season, second best in the NASL that season. The Strikers reached Soccer Bowl 2014, but ultimately lost to San Antonio Scorpions.
In January 2015, he moved to Czech team Sparta Prague. He was released by Prague on June 17, 2015. He never made a league appearance for the club, but came on in the 84th minute in a Czech Cup match against Jablonec. During his stay with Sparta he played mostly with the U21 side.
FC St. Pauli
In September 2015, Picault signed a one-year contract with FC St. Pauli with the option of a one-year extension. He was St. Pauli's last signing during the 2015–16 summer transfer window. In April 2016, his contract was extended until June 2018.
In February 2017, Picault returned to the United States and signed with MLS side, Philadelphia Union. He made his MLS debut as a substitution in the Union's home opener against Toronto FC. In May, Picault scored his first goal for the Union in a dominant 4–0 performance against D.C. United. Picault became a regular contributor to the starting XI making 29 appearances in all competitions and scoring 7 goals, good for third best in the team. Ahead of the 2018 season, Picualt received a 3-match suspension for offensive language exchanged with Pierre da Silva during a preseason, closed– door scrimmage with Orlando City.
FC Dallas
In November 2019, Picault was traded to FC Dallas in exchange for $300,000 of 2020 General Allocation Money.
Picault has maintained a connection with his Haitian roots and holds passports from both the United States and Haiti. Picault is also very fond of the cuisine and music; he especially enjoys cooked plaintain and his friends and cousin are even part of a Haitian band. He speaks seven languages, five in which he is fluent in: English, Creole, French, Italian and Spanish, while speaking a little Portuguese, and German. During his time in Italy, he maintained close relationships with players who now play in the Serie A and has an Italian agent.