SH Racing will run the full season this year with Piquet driving the No. 07 Ford Fiesta ST.
The car will be sponsored by N.O.-XPLODE in six of the 10 events, including the X Games Austin.
For Piquet Jr, the Global Rallycross is a new opportunity after a lack of sponsorship ended his partnership with Turner-Scott Motorsports in NASCAR.
The son of three-time World Champion Nelson Piquet Sr. became the first Brazilian to win a NASCAR national series race in 2012 when he won the Nationwide event at Road America, and he scored Truck Series wins at Michigan and Las Vegas.