The Uruguay international was handed a 10-match ban, one of English football's heaviest penalties for on-pitch misbehavior, for biting Branislav Ivanovic's arm during Liverpool's 2-2 draw with Chelsea on Sunday.
Speaking as a "dad watching a game," Cameron says "I've got a 7-year-old son who just loves watching football and when players behave like this, it just sets the most appalling example to young people in our country."
Cameron tells the BBC that it is a "serious" incident because Suarez is a "role model" to children.
Suarez could appeal on Friday against the severity of the ban.