Spartak then immediately loaned him out to Croatian First Division side Zadar, where he spend the remainder of the 2007-08 and the 2008-09 season.
Ozobic then returned to Spartak for the 2010-11 season and made his professional debut in the Russian Premier League on 28 November 2010 for Spartak Moscow.
Croatian giants HNK Hajduk Split then took Ozobic on a loan for 18 months where he largely failed to impress and spent most of the time as either a reserve or a substitute. Ozobic was released from his Spartak contract in the summer of 2013.
Ozobic also played for Croatian national team U16, U17, U18, U19, U20 and U21.
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