Quite easily because he's talking about money and not the race of the owners. It's just a coincidence that the owners of the clubs mentioned are Arabic. If asked to clarify further he can throw in Chelsea/Real/Barca and put to bed this whole idea.
It's in nearly every article now. It will die down when the next round of games has been completed but his denial is well published and that's all he needs. Having said that though, in explaining what he is challenging they're actually giving more weight to the accusations - everyone can now see that he's called out Arab owned clubs only and has also seen our net spend is much lower. Lampard has already stuck up for City. Howe has pushed back. Martin Samuel has exposed his comments as bullshit and in general there's been enough of a storm for him to tread a little bit more carefully in the future. He knew what he was doing. He's an intelligent bloke. Say enough to hit the mark but not too much that you can't back track to get away with it. English isn't his first language remember!