According to Automotive News, Elkann made the announcement during a speech in Turin, but didn't state when the technology would be first offered in a production vehicle.
He also didn't indicate which Maserati vehicle will be the first to be offered with the technology.
In August 2017, Fiat Chrysler joined a self-driving vehicle technology consortium led by BMW and Mobileye, an automotive parts supplier owned by computer chip maker Intel.
FCA also has a relationship with Waymo, Google's autonomous vehicle arm.
Maserati has been going through a rough patch lately, with global sales down 32% during the first quarter of this year following on from a 28% drop in 2018.
The company has recently reconfirmed it plans to completely renew its range by 2022. While it will be FCA's electrification spearhead, the brand will not go fully electric as it needs the "raw emotion" of internal combustion engines.