I have no objection to your request.

我不反对你的请求。

I have no objection to him coming to stay.

我不反对他来小住。

I have no objection to banks making money.

我对银行赚钱没有反对意见。

I'd like to come too, if you have no objection.

如果你不反对，我也想来。

We have no objection to this change, but doubt that it will significantly improve matters.

我们不反对这种变化，但怀疑这是否将明显地改善事态。