Last year the league released the full schedule on Jan 7. The bad news is I'm pretty sure the league is taking a 2-week break during the Centenario.
So it is, but its likely to be during the group stage. Fingers crossed nycfc are playing in NY during the knockout stage.
Edit.
Just remembered to check the yankees schedule for june
From the 6th to the 12th the Yankees play at home but this would be the time that MLS would be on pause anyway.
Following on from that :
WED 15/06/2016 - Yankees @ Rockies
THU 16/06/2016 - Yankees @ Twins
FRI 17/06/2016 - Yankees @ Twins
SAT 18/06/2016 - Yankees @ Twins
SUN 19/06/2016 - Yankees @ Twins
MON 20/06/2016 - NIL
TUE 21/06/2016 - Yankees V Rockies - Yankee Stadium
WED 22/06/2016 - Yankees V Rockies - Yankee Stadium
THU 23/06/2016 - NIL
FRI 24/06/2016 - Yankees V Twins - Yankee Stadium
SAT 25/06/2016 - Yankees V Twins - Yankee Stadium
SUN 26/06/2016 - Yankees V Twins - Yankee Stadium
MON 27/06/2016 - Yankees V Rangers - Yankee Stadium
TUE 28/06/2016 - Yankees V Rangers - Yankee Stadium
WED 29/06/2016 - Yankees V Rangers - Yankee Stadium
THU 30/06/2016 - Yankees V Rangers - Yankee Stadium
So I really have to hope NYCFC play at home on the Fri/Sat/Sun 17-06 to 19-06.
Also MetLife Stadium hosts a Qtr Final of the Copa on Friday 17/06 which could possibly be Brazil v USA which would be amazing to watch so id assume MLS won't be playing the Friday Night game in NYC.
So basically I'm down to 2 days.........