Israel and the north-central African country renewed their diplomatic relations last January during a historic visit by Prime Minister Benjamin Netanyahu to the capital N'Djamena.
Alongside Netta are also two pictures of Swedish band ABBA that won the contest in 1974, with the words "Republic of Chad" written above the images.
Relations between the countries were severed in 1972 due to pressures from the Arab world.
Chad state officials said that the current stamp issue was intended to express the strengthening relations between the countries and made sure to send a copy of the stamps to the National Security Council (NSC) in Prime Minister Benjamin Netanyahu's office.
Netta performed as a guest at the Grand Final of this year's competition, which was held in Tel Aviv in May.
In addition to Barzilai's 2018 victory, Israel had won the competition on three different occasions in the past: in 1978 with the song "A-Ba-Ni-Bi" by Izar Cohen and Alphabeta; in 1979 with the song "Hallelujah" by Milk and Honey, and in 1999 with song "Diva" sang by Dana International.