Nightengale added Tuesday that no decision has been made yet regarding whether a deal between the two sides will come to fruition.
Rumors of the Cards pursuing Ozuna come just one day after the Marlins finalized the trade that sent outfielder and reigning National League MVP Giancarlo Stanton to the New York Yankees.
While Ozuna doesn't quite measure up to Stanton and the 59 homers he blasted in 2017, the 27-year-old Dominican Republic native had a career year in his own right last season.
Ozuna set personal bests across the board by hitting .312 with 37 home runs and 124 RBI as Stanton's primary protection in the batting order.
In five MLB seasons, Ozuna is a two-time All-Star with a .277 career batting average, 96 home runs and 361 RBI. He also won a Gold Glove in 2017.
The Cards finished 83-79 last season, missing out on the second NL Wild Card spot by four games behind the Colorado Rockies.
They ranked 13th in runs scored and 18th in home runs, meaning they could use a middle-of-the-order run producer like Ozuna in their lineup.
He would likely displace Stephen Piscotty as a starting outfielder in St. Louis alongside Dexter Fowler and Tommy Pham.