Archer, who was awarded a Test and white-ball contract by the England Cricket Board (ECB) after his sensational debut international season in the World Cup and the Ashes, wrote on Twitter that he is “ready to play cricket again”.
Pietersen took that into his notice and replied, “So am I! You bowl and I bat?!”
Archer was game in his next tweet as he shot back saying: "Come on then".
Pietersen then quizzed the 24-year-old about the venue, cheekily saying: "When and where? In SA on the tour there?"
Archer played an instrumental role in England's win in the 50-over World Cup for the first time by taking 20 wickets, the most by an Englishman at a single World Cup.
Archer also played a major role in the recently concluded Ashes series against Australia by picking up 22 wickets in the four matches he played and helped England draw the five-match rubber 2-2.