Zibanejad scored a goal and three assists in the Rangers' 2019–20 season opener on 3 October 2019, and followed that game with his third career hat-trick against the Ottawa Senators on 5 October. He also posted an assist in the game, becoming the sixth player in NHL history with four-point games in each of the first two games of the season, and the first player to do so since John Cullen of the Pittsburgh Penguins in 1990. He was the second player in the Rangers' history to post eight points through the first two games of the season, the fourth in franchise history to score six or more points in that span, and the first in both cases since Rod Gilbert in 1976. Zibanejad's game on 5 October made him the first Rangers player with an even strength goal, a power play goal, and a short-handed goal in an away game since Petr Nedved in 2000, and the first Ranger to do so in any game since Derek Stepan in 2014. On October 8, was named NHL's First Star of the Week. On 5 March 2020, Zibanejad became the third player in Rangers' history to score 5 goals in a game in a 6-5 win over the Capitals, joining Don Murdoch, who set the mark on October 12, 1976 against the Minnesota North Stars, and Mark Pavelich on February 23, 1983 versus the Hartford Whalers. Among Zibanejad's tallies was the overtime winner, making him only the second player in NHL history to complete the quintet of goals in the extra period, rivaling the Detroit Red Wings' Sergei Fedorov, who set the standard on December 26, 1996, also against Washington. Zibanejad was raised in Huddinge, Sweden. Zibanejad's father, Mehrdad, is from Iran. His mother, Ritva, is from Paltamo, Finland. Mehrdad, a Christian, left Iran in 1983 due to religious persecution following two years of mandatory military service in the Iran–Iraq War. Mika's maternal half-brother, Monir Kalgoum, is also an ice hockey player who played professionally for teams in several lower-tier European leagues, most notably Huddinge IK and AIK IF in Sweden's HockeyAllsvenskan and Milton Keynes Lightning in the United Kingdom. Zibanejad is fluent in English, Persian, Finnish and Swedish. Zibanejad is also a DJ and music producer. He has released 5 songs.