foreach($this->arrProducts as $key => $arrProduct){

    $this->arrProducts['name'] = preg_replace('/野菜/u', '', $arrProduct['name']);
    //以下略
}

$(function(){
    $('form[name^="product_form"] h3 a')
        .each(function(){
            var str = $(this).text();
            var replaced = str.replace(/野菜/g, '');
            $(this).text(replaced);
        });
});