He only played 2 matches for CSK in the 2023 campaign.
The 24-year-old notched a century in his debut IPL season with Sunrisers Hyderabad.
The all-rounder disappointed fans in his 11 appearances for KKR last season.
The Sri Lankan all-rounder picked 26 wickets for Royal Challengers Bangalore in 2022.
The former Purple Cap winner had been with RCB since 2021.
KKR brought in the New Zealand pacer from Gujarat Titans last season.
The Tamil Nadu batter made his debut in 2021 with Punjab Kings.
After missing the entire 2022 campaign, Archer represented Mumbai in 5 matches in 2023.
The Aussie pacer might give the upcoming edition a miss.
Rayudu decided to retire after lifting the title with CSK last season.