Heimir Hallgrimsson said Republic of Ireland players drew global attention after declining to take part in pre-match formalities against Israel.
Players from the Republic of Ireland and Israel will not shake hands before Sunday's UEFA Nations League fixture in Hungary, the BBC reported.
Republic of Ireland players will wear black armbands in recognition of lives lost in the Gaza conflict ahead of their Nations League match against Israel.
Defender Dara O'Shea said the Ireland squad will wait until after Thursday's Kosovo game before discussing how to approach Sunday's fixture against Israel.
The Football Association of Ireland says European football's governing body turned down its appeal to avoid pairing the Republic of Ireland with Israel in future competition draws.
Brian Sorensen is reportedly poised to join the Republic of Ireland women's team ahead of their World Cup play-off qualifiers, according to BBC Sport.
Republic of Ireland head coach Heimir Hallgrimsson says squad members were consulted personally ahead of matches against Israel, acknowledging discomfort among the group.
Sheffield United's Liam Kitching earns first call-up as Seamus Coleman is omitted from the squad for matches against Kosovo, Israel and Austria.