The Liverpool hitman, a substitute in his country's 2-1 defeat to Italy, reacted angrily to comments made by his coach late in the game.
A toe-to-toe argument then broke out between the pair.
"It's obvious. Voronin hardly strengthened us when he came on.
"In fact, he was one of the reasons Italy got the second goal. He looks to me like he has put on an extra three kilos of weight.
"We created 10 chances in the match and only took one. It's no wonder there was frustration.
"After the match, I apologised to the team. I know that it was partly my fault, too.
"However, Andriy obviously doesn't consider it necessary to apologise and, if he continues like that, then I won't think it necessary to include him in the national team."
Voronin refused to back down in the war of words with Blokhin that could result in him being dropped.
The 28-year-old, capped 48 times for his country, said: "You must understand that I do not welcome this situation, but I am no longer a child. I won't allow anyone to patronise me the way Blokhin did."