However, Matsatsantsa could not agree terms with his agent Alfred Maimane Phiri, who is a former SuperSport midfielder.
Manyama is a free agent after being released by the Turkish Super Lig side, Konyaspor earlier this month.
SuperSport chief executive officer Stanley Matthews disclosed that they were looking re-sign Manyama, who was on the books of Matsatsantsa between 2013 and 2016.
"Every club would like to have the player of Manyama's calibre. To answer your question, yes we were interested in bringing him in to our set up but couldn't agree terms with his agent (Alfred Phiri)," Matthews told IOL.
"His wage demand are high ever-since he moved to Europe. As the club we have a budget and Manyama is on high price bracket. We can't afford him. He is the son of the club and we wanted to bring him but couldn't meet his demands," he continued.
Mamelodi Sundowns and Kaizer Chiefs are said to be looking to sign Manyama, who moved to Konyaspor from Cape Town City last August after winning the 2016/17 PSL Player of the Season award.
Meanwhile, Matthews confirmed that they have re-signed Bongani Khumalo following a successful trial spell with the Tshwane giants.
"Bongani Khumalo has joined us on a one-year contract. His contract has an option to extend it with another season should he impress. He is a good character and did well for us in the past. He is a very experienced center-back," Matthews said.
Khumalo has returned to Matsatsantsa for his third spell having helped the Tshwane giants win three successive PSL titles between 2008 and 2010.
Matthews also made it known that Matsatsantsa are targeting a top four finish in the PSL next season.
"This season our priority is the league. We want to finish in the Top four. We will be experimenting in the cup competitions by giving some of our young players an opportunity to showcase themselves. In terms of our transfer activities, we won't be that active," he said.
"We are finalising a deal with a young Zambian striker. I believe we've signed well. We have bolstered our team with three experience players in James Keene, Washington Arubi and Bongani Khumalo," he concluded.