This is my solution that saves the value.
add_action( 'woocommerce_edit_account_form', 'add_favorite_color_to_edit_account_form' );
function add_favorite_color_to_edit_account_form() {
acf_form_head();
$current_user = wp_get_current_user();
$options = array(
'post_id' => 'user_'.$current_user->ID,
'field_groups' => array(111),
'form' => true,
'return' => add_query_arg( 'updated', 'true', get_permalink() ),
'html_before_fields' => '',
'html_after_fields' => '',
'submit_value' => 'Update'
);
acf_form( $options );
}