let player1 = document.getElementById("player1").innerHTML;
let player2 = document.getElementById("player2").innerHTML;
let turn = 0
let blocks = document.getElementsByClassName("blocks");
for (let i of blocks){
i.addEventListener("click", (event)=>{
    if (i.innerHTML.trim() != '') return;
    i.innerHTML = turn 

    if (turn == 0){
        event.target.innerHTML = player1
        turn = 1
    }
    else {event.target.innerHTML = player2
    turn = 0}

})
}

.blocks {
padding:20px;
text-align:center;
border:1px solid #666;
float:left;
margin-right:5px;
}

 <div>
        <div id="0" class="blocks"></div>
        <div id="1" class="blocks"></div>
        <div id="2" class="blocks"></div>
    </div>
    
    <div>
        <div id="3" class="blocks"></div>
        <div id="4" class="blocks"></div>
        <div id="5" class="blocks"></div>
    </div>

    <div>
        <div id="6" class="blocks"></div>
        <div id="7" class="blocks"></div>
        <div id="8" class="blocks"></div>
    </div>

</div>

<div id="player1" class="players">👵🏿</div>
<div id="player2" class="players">👵🏻</div>