在 have no objection 后不能直接接动词。应该用 have(或have got) no objection to + sth / doing sth,意思是“不反对某事/做某事”。例如:
I have no objection to it. 我不反对此事。
I have no objection to going there at once. 我不反对马上去那里。
ve got no objections to his going there. 我不反对他去那里。
(最后一句摘自外研社、建宏《英汉多功能词典》)