Jantjie lost his life to a vehicle accident on Monday morning.
"We are saddened by his loss, but we will not be affected negatively by it," Rodgers tells KickOff.com.
"We will play out in honour of Jantjie and perform to the best of our abilities, we will survive and we will give glory to God for his life and talents through our performance on the field.
"It was a very sad loss for the club, friends and family members. We were all devastated with the news. These things happens so fast. But we are learning to cope and come to terms with his passing. We have learnt how short life can be, but we are so grateful for the times we had with Jantjie, also the memories we shared with him. He will always be remembered for his character, hardwork, funny guy who was always ready to support or help someone when in need.
"But what stood out for me was his laugh, it brought about great joy amongst us. Then also of course his smile, this smile he wore everyday. We cannot remember a time when he was angry or sad. His smile brought a bright radiance amongst us. He will never be forgotten.
"He had an awesome talent on the field of play. It will go a long way even though he is not longer with us. We thank God for his life and the impact he made wherever he set his foot, friends, teammate and family. We give God the glory for the time we had with him and we are grateful for the Grace of God upon our lives who gives lives in abundance. We will all be with him one day. May his soul rest in peace."
Asked if Jantjie ever came to him for advice before he signed a pre-contract with his former team Bidvest Wits, Rodgers said: "No, not really but I told him they run a lot and train a lot especially in pre-season and he just said "eish" [Laughs] . But then I told him he will be fine because he has no issue with running. But also told him he will enjoy it it's a good environment to be in, good people, players and staff."