Having music in his family (brother Art Resnick was an accomplished jazz and classical pianist and composer) he began his career playing in Minneapolis clubs and concerts in 1966, moving to Los Angeles in 1968.

Lagos eventually introduced Resnick to Canned Heat bassist Larry Taylor and violin player Don "Sugarcane" Harris.

After quitting the PFDA, Resnick went on to play with John Mayall and recorded the album The Latest Edition, with Larry Taylor on bass, Red Holloway, a seasoned jazz player on sax and flute, Soko Richardson, former Ike and Tina Turner drummer, and Hi Tide Harris sharing the guitar spotlight with a contrasting, simpler bluesy style.

Return to the concert stage, October 2012: Canned Heat leader Fito de la Parra called Resnick to replace Harvey Mandel, who had to fly back to California for a family emergency.

In 1965, while working at B-Sharp, a local musical instrument shop, he presented George Harrison of The Beatles with a Rickenbacker 12-string guitar during their 1965 US tour.

[4] Longtime friend Owen Husney, who discovered Prince and signed him to Warner Brothers, mentions Randy's guitar influence in his 2018 book "Famous People Who've Met Me".

In a 2020 Guitar World interview, John Mayall, asked to name three guitarists who played with him mentioned Buddy Whittington and Eric Clapton, and added, "I’d also have to give a nod here to another favorite of mine who is not that well known, Randy Resnick.