The patch will bear the number 1,223, reflecting the Jazz's number of victories while Sloan served as head coach from 1988 to 2011.
Next season, Utah's jerseys will have a black strip with the same design.
Under Sloan's watch, the Jazz reached the Western Conference Finals in 1992, 1994, 1996 and 2007. Utah was a conference champion in 1997 and 1998 but lost to the Chicago Bulls in the NBA Finals both years. Only three times in his 22 full seasons on the Jazz sideline did the franchise fail to make the playoffs.
Sloan died in May at age 78 from complications from Parkinson's disease and Lewy body dementia.
The Jazz are making the 1,223 patch available for purchase for $12.23 and donating the proceeds to the Michael J. Fox Foundation, which works to find a cure for Parkinson's disease.
Utah is set to resume its season July 30 against the New Orleans Pelicans.