However, Unionist parties opposed the move, including the Democratic Unionist Party (DUP) which Lyons represents.
International lawn bowler Martin McHugh, who has competed in seven Commonwealth Games for Northern Ireland was at the flag bearer at the last games in Birmingham in 2022.
He said it was a “great honour” to be selected, and that the issue surrounding the flag should should not overshadow the event.
“Personally it doesn’t mean too much [to me] what flag, I’m there to represent Northern Ireland as a lawn bowler,” he told BBC Radio Ulster’s Evening Extra programme.
He said whatever decision is made by the board around which flag is used, everyone should “get behind it”.
“We’re there to represent Northern Ireland and it’s a pity it’s six months away, and we’re not talking about the athletes that are going to be selected to go represent Northern Ireland,” he added.
Runner Katie Kirk, who has competed in two Commonwealth Games, said except from the opening ceremony, the flag was not a “prominent part” of her experience.
She told Radio Ulster’s Talkback programme: “For me, flags weren’t something that was at the forefront of my mind and I think for quite a few athletes that might be a similar experience.”