Gyan says he has 'never fully recovered' from his World Cup penalty miss against Uruguay
Anagbla spoke of the death threats that the Gyan camp says it has received, as well as the mock obituaries about the player that have been posted online.
"No one is saying that you should not criticise - but when you criticise with death threats, that is more serious," added the FA vice-president.
"He is a public figure so is bound to be criticised but if you issue death threats, and put an obituary somewhere, this is very serious."
"You cannot joke with someone's life."
Should Gyan return to the Ghana fold in June, he will have missed no competitive matches - just the handful of friendlies that the Black Stars will play in the run-up to attempting to qualify for Brazil 2014.
At the last World Cup in South Africa, Ghana would have become the first African side to ever reach the semi-finals had Gyan not missed a penalty in the quarter-finals against Uruguay.
"As you can imagine it's been very hard for me mentally, to miss two important successive penalties for my country," Gyan explained in his statement on Monday.
"I never fully recovered from the 2010 World Cup."
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