<?php
$arr = array('Team' => array(array('Name'=>'Team A'), array('Name'=>'Team B')));

echo "Original array\n";
print_r($arr);
echo "\n\n";

// Removing Team A
$lastIndex = count($arr['Team'])-1;
for($i=$lastIndex; $i>=0; $i--) {
    if($arr['Team'][$i]['Name'] == 'Team A') {
        unset($arr['Team'][$i]);
    }
}

echo "Modified array\n";
print_r($arr);
?>

Original array
Array
(
    [Team] => Array
        (
            [0] => Array
                (
                    [Name] => Team A
                )

            [1] => Array
                (
                    [Name] => Team B
                )

        )

)


Modified array
Array
(
    [Team] => Array
        (
            [1] => Array
                (
                    [Name] => Team B
                )

        )

)