The 24-year-old came up through the ranks at Usuthu and has also spent time on loan with Bizana Pondo and JDR Stars.
In total, he made 83 appearances for the Betway Premiership club, scoring seven goals and providing seven assists.
AmaZulu on Saturday announced the departure of a swathe of players including Veli Mothwa, Sandile Khumalo, Boniface Haba, Msindisi Kunene, Augustine Mulenga, Ethan Brooks, Skhulile Manyoni, Wayde Jooste, Thembela Sikhakhane, Ramahlwe Mphahlele, Kwanda Mngonyama, Mbongeni Gumede, Abbubakar Mobara and Andile Mbanjwa.
Part of a club statement from director of football Pedro Dias read: "AmaZulu FC can also confirm that an offer from Orlando Pirates FC to acquire the rights to midfielder Tshepang Moremi has been accepted.
"We wish Tshepang all the best as he embarks on a new chapter in his career."
English outfit Bolton have confirmed a pre-season friendly against Orlando Pirates, set to take place in Marbella, Spain, on Friday, 11 July at the Marbella Football Centre.
Orlando Pirates will face Bolton Wanderers in a pre-season friendly in Spain, the English League One side have confirmed.
Former Orlando Pirates midfielder Mpho Makola has praised Kaizer Chiefs' decision to sign Paseka Mako and Thabiso Monyane, calling the double acquisition a "masterstroke."
South African football continues to make waves on the continental stage, with three clubs - Orlando Pirates, Mamelodi Sundowns and Stellenbosch FC - earning spots in the latest top 20 African club rankings.
