This article does not reflect accurately what Yuzuru Hanyu actually said.
He did not “warn” his rivals that his results from last season were not a fluke, nor did he say “As Olympic champion I WANT PEOPLE TO REALISE that my gold medals were no coincidence — I won them because of my ability.”
Rather he said that coming into this season as the Sochi Olympic champion, he HOPES TO SKATE IN A WAY THAT CAN CONVINCE EVERYBODY last season was no fluke and that the results were a true reflection of his abilities.
In other words, he was just talking about what kind of performance he hopes to have this season, and not gloating or goading, as this article or its title would suggest.
I just wanted to make the distinction clear, so that this skater does not come across as an arrogant young man. Yuzuru Hanyu always shows a great deal of respect towards his competitors and skating fans, and is careful in the way he expresses himself.
Please be more thorough in how you translate the original words.