One such quote is his description of the Holocaust as a "species shame". Another is the saying he adopted that "No serious person ever thinks about anything else."
https://forward.com/culture/547876/martin-amis-appreciation-jewish-influences-bellow-roth-singer-mailer/Amis offered what he presented as a quote from the German author W.G. Sebald that “no serious person ever thinks about anything else” than the Holocaust. Oddly, this extreme view does not appear to be anywhere in Sebald’s published writings or interviews. Yet Amis repeated it in fictionalized memoirs and on public occasions until the quote became Amis’ own.
The saying illustrates the cultural centrality that holocaust theory acquired in the West. In addition, there is his confrontation with his novelist father, Kingsley Amis, one of the post-war "Angry Young Men", about the supposed anti-semitism in one of his novels, Stanley and the Women (1984) and elsewhere. This clash illustrates the sea-change in attitude to Jews that occurred in England perhaps after the Holocaust mini-series of the late 1970s.
Martin Amis wrote two holocaust themed novels, Time's Arrow (1991) and Zone of interest (2014).