Jarzynska triumphed in 2:28:12, the sixth best time by a European woman this year, as she beat Kenya's Gladys Kipsoi, who was second in 2:34:20, and Ukraine's Svitlana Stanko, third in 2:34:55.
Victory by over six minutes is impressive whatever the race or conditions and Jarzynska will now come into the picture for Zurich in August.
Yared Shegumo, now with Polish citizenship, won the men's race in 2:10:41 ahead of Kenya's Hassan Mogaya in 2:10:47 and Ethiopian Gelgelo Tona in 2:10:53.
Staying in Poland, there was a national title for the national record-holder Henryk Szost as he finished third in the 2nd Orlen Warsaw Marathon in 2:08:55 as Ethiopia's Tadese Tola won in 2:06:55 and Kenyan Levy Matebo was second 2:08:09.
The host country made the podium in the women's race as Iwona Lewandowska was second in 2:32:42, beaten by 2:12.00 by Ethiopia's Ehile Bizuayehu.
Across the country, Bekescsaba was the venue for the Hungarian 20km national walking championships where Mate Hellebrandt, in 1:24:38, and Viktoria Madarasz, in 1:35:32, were crowned champions.
On the track, Belgium's Anna Zagre used the warm conditions in Tallahassee to post two good early season times at the Seminole Invitational as she won the 200m in 23.31 and the 100m hurdles in 13,04.