Local Kindergarten to Intl Primary School

My son is 3 years old now. We hope he can study in international school from primary years but at the same time we do hope to expose him to Chinese learning as much as possible, so we are sending him to a local kindergarten this September. (We did applied for ESF, GSIS and IMS but still on the waiting lists. After thorough discussion with my husband, we decided to go for local kindergarten because of Chinese learning).
Do you think our decision will weaken the chance of my son to enter into international school after kindergarten
Thanks for any comments and suggestions~