add_action('woocommerce_order_status_changed', 'ts_auto_complete_by_payment_method');

function ts_auto_complete_by_payment_method($order_id)
{

if ( ! $order_id ) {
return;
}

global $product;
$order = wc_get_order( $order_id );

if ($order->data['status'] == 'on-hold') {
$payment_method=$order->get_payment_method();
if ($payment_method!="COD")  // change payment method 
{
$order->update_status( 'processing' );
}}}

add_action( 'woocommerce_thankyou', 'woocommerce_auto_processing_orders');
function woocommerce_auto_processing_orders( $order_id ) {
    if ( ! $order_id )
        return;

    $order = wc_get_order( $order_id );

    // If order is "on-hold" update status to "processing"
    if( $order->has_status( 'on-hold' ) ) {
        $order->update_status( 'processing' );
    }
}