"I didn't think it was funny and neither did Zeke," Elliott's agent, Rocky Arceneaux, said. "We actually thought it was disrespectful."
Arceneaux said Elliott is continuing his contract holdout while training in Cabo San Lucas, according to ESPN.
Jones made the joke Saturday after the Cowboys' preseason victory over the Los Angeles Rams in Hawaii. He answered a question about running back Tony Pollard, who got the start again in Elliott's absence.
Jones was asked if Pollard, who is having a standout training camp, was the best negotiating piece for the Cowboys during their contract talks with Elliott. The Cowboys owner said, "Zeke who?" before clarifying that he was "cracking a joke at Zeke's expense."
Elliott has yet to report to training camp as he continues his holdout. The star tailback is subject to fines totaling about $900,000.
Pollard recorded 51 yards, including a 14-yard touchdown run, on the Cowboys' first drive Saturday against the Rams.