Extra time is normally only played in knock-out competitions, where one team must win to progress to the next round. In most competitions two full periods of 15 minutes are played, with the winner being the team with the highest score at the conclusion.
However, some cup competitions stipulate that, in the event of the scores being equal at the end of the normal 90 minutes of play, extra time will be played and the match will be won by the first team to score during extra time. This is called a Golden Goal.
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According to FIFA rules, a goal scored in extra time is no different than a goal scored in regulation.
The word you are probably looking for is "golden goal," in which extra time ends at the scoring of the goal. This is a rule modification that many leagues implement but is not sanctioned by FIFA.
A goal scored in extra time (overtime) is a goal, and counts toward the final score just the same as a goal scored in regular time. Some competitions make use of the "golden goal", a sudden-death scoring method to quickly determine a winner, but this method is not approved by FIFA.
A goal scored in overtime is called a golden goal. The game ends when a golden goal is scored. The rule ceased to apply to most FIFA authorized football games in 2004.
It can be called a Golden Goal, depending on the rules. It can also be called the game winner if the rules are to play the whole overtime.