The Nets announced earlier on Tuesday that Nash had been fired following their 2-5 start to the season, with assistant coach Jacque Vaughn taking charge in his absence.
Kevin Durant scored 32 points with nine rebounds for the Nets who led 58-52 at half-time before the Bulls charged home in the fourth quarter, led by Zach LaVine who had 20 of his 29 points in the final period.
LaVine top scored for the Bulls, including five-of-11 three-point shooting with four rebounds and five assists, while DeMar DeRozan added 20 points and center Nikola Vucevic hauled down 15 rebounds.
Irving, who has faced widespread backlash for sharing a film on social media with alleged anti-Semitic connotations, battled throughout with three turnovers while making none of his six three-point attempts.
The win improved the Bulls to 4-4, while the Nets fall to 2-6, with a 2-4 record at Barclays Center this season.
Golden State's road struggles continue
Reigning champions, the Golden State Warriors, slumped to their third straight defeat as Jimmy Butler fired late to lift the Miami Heat to a 116-109 win.
Butler, who finished with 23 points with six rebounds and eight assists, scored five straight points down the stretch to give the Heat the lead which they never surrendered.
Kyle Lowry moved past Jason Kidd into 12th on the all-time NBA three-pointers made list, scoring three triples in his 13 points.
Stephen Curry recorded his 10th regular-season triple-double with 23 points, 13 rebounds and 13 assists, but he could not prevent the Warriors' road woes (0-4) continuing, dropped to 3-5 overall.
Johnson shines as Suns burn
Cam Johnson drained seven three-pointers as the Phoenix Suns maintained their perfect home record this season and moved to 6-1 overall with a 116-107 victory over the Minnesota Timberwolves.
Johnson finished with 29 points, 21 coming from beyond the arc on seven-of-11 three-point shooting, while Devin Booker took a back seat with 18 points, seven rebounds and five assists.
Chris Paul had 14 points, 12 assists and a team-high eight rebounds for the Suns who clinched their fifth straight win. Karl-Anthony Towns and Anthony Edwards both had 24 points for the Timberwolves.