Dollar hegemony is the tendency for the US dollar to act as the world's reserve currency; a benchmark for countries to stabilise their currencies against, hold reserves in and denominate international agreements in.
Those sufficiently keen to see the end of dollar hegemony, or certain that it will end in the near future tend to argue that anything which involves other countries agreeing to denominate anything in foreign currencies other than dollars spells the end of it. The reality is that Zimbabwe has minimal influence on the world economy and already uses multiple currencies alongside USD to denominate its contracts in the absence of an adequate domestic currency.