KL Rahul's side won by 2 runs in a thriller at the DY Patil Stadium.
Mumbai Indians were restricted to 190/7 in response to the Sunrisers total of 193/6.
The right-arm medium pacer hasn't disappointed his side, taking 18 wickets in 12 games this IPL.
Marsh smashed the only half-century of the match as Delhi defended a modest 159/7 against Punjab to record their first back-to-back victories this season.
The big-hitting West Indian had flown to Guyana for the birth of his son on May 8, missing the matches against Delhi Capitals and Lucknow Super Giants.
Former champions Royals defeated Lucknow Super Giants by 24 runs at the Brabourne Stadium on Sunday night to climb to second position with 16 points.
Deepak Hooda's fifty went in vain as the Super Giants lost by 24 runs.
After the bowlers produced a brilliant show to restrict Chennai to a below-par 133/5, Saha anchored the chase and took them home with five balls to spare.
Andre Russell who scored an unbeaten 49, bagged 3/22 later.
Soon after Rayudu deleted the tweet, fans were left wondering why he retracted from his retirement announcement.