The duo defeated home favourites Richard Gasquet and Lucas Pouille 6-4, 6-2 in the first round of the Grand Slam event in the French capital on Thursday.
Up next for Zieliński and Nys at Roland Garros is the Brazilian-Australian pairing of Marcelo Melo and John Peers.
Zieliński and Nys last month won the men’s doubles at the Italian Open clay-court tournament in Rome.
In January, the two reached the final of the Australian Open men's doubles in Melbourne.
The 2023 French Open runs until June 11.
(gs)
Source: IAR, PAP, Eurosport