Meaning of Jerica. American name. In American, the name Jerica means-strong, a gifted ruler.The name Jerica originated as an American name. The name Jerica is most often used as a girl name or female name.American Name Meaning-strong, a gifted ruler. Origin-America.merican name. In American, the name Jerica means-strong, a gifted ruler.The name Jerica originated as an American name. The name Jerica is most often used as a girl name or female name. American Name Meaning-strong, a gifted ruler.