The team announced Sunday night that associate head coach Jay Triano was taking over for Watson as interim head coach.
Monday's meeting occurred a day after the Suns fired coach Earl Watson.
The New York Knicks are among several teams reaching out to Phoenix, league sources told ESPN.
"He said he was at a hair salon", McDonough said. Watson was entering his second full season at the Suns' helm after he replaced Jeff Hornacek, who was sacked 49 games into the 2015-16 campaign. After logging a disappointing opening night performance at home against the Los Angeles Clippers, the Los Angeles Lakers looked like a new team on Friday.
Bledsoe later tried to put that tweet in context, although McDonough wasn't buying the excuse.
"He won't be with us going forward", McDonough told reporters of Bledsoe. "I didn't believe that to be true", McDonough said.
Video was posted online of the incident, which came after the Suns' 130-88 loss in Los Angeles, showing Jackson making the gesture and shouting an apparent profanity at the fan.
The Suns now hold a 0-3 record, two of their losses were blowouts.
The 6-foot-1, 205-pounder is averaging 15.7 points and 3.0 assists per game so far this season. Given that reluctance, it seems like the Knicks are a long-shot to trade for Bledsoe, who would be an upgrade over current Knicks starting point guard Ramon Sessions.