From Longman Dictionary of Contemporary Englishhave nothing against somebody/somethinghave nothing against somebody/somethingif you have nothing against someone or something, they do not annoy or offend youI have nothing against him personally. →nothing
Examples from the Corpus
have nothing against somebody/something• Now I want this distinctly understood, that I have nothing against Cleveland.• Atari and Psion, like most companies, have nothing againstenthusiasts making one or two copies for personal back-ups.• I have nothing againstJack personally, I just don't like his line of work.• I have nothing against Mr Jack Neighbours, who sadly, I understand, was killed in the war.• I have nothing against the Arabs ... They are the same as us.• I have nothing against the Arabs.• I have nothing against these resorts, but my own shortlist of best resorts would not include any of them.• I have nothing againstthorns and prickles so long as you can admire them from a safedistance.