O'Hara, who has more than 7000 followers, told another Twitter user the wait staff at Kiwiana told her the message was the chef's idea.
Simmons isn't the only Kiwi speaking out about Trump's immigration policies.
More than 2000 people are expected at a protest in Aotea Square, Auckland tonight, against the US President's "racist and Islamophobic immigration bans".
An organiser of the protest, Mehwish, who did not want her last name published because of safety concerns, said Trump's executive order banning visitors from Syria, Iran, Iraq, Sudan, Libya, Somalia and Yemen perpetuated "a pattern of white supremacist immigration exclusion in colonial settler countries like the United States".
She condemned Prime Minister Bill English for "refusing to call [the ban] for what it is - racist", saying most New Zealanders disagreed with the policy.
Another member of the Aotearoa Against Muslim Ban lobby group that organised the protest, Nisha - who also asked for her last name not to be published - said the sentiment of the executive orders was not unique to the Trump administration.
"Deportations and immigration restrictions have been in place for years. Rather than seeing Trump as an exception to the rule, we need to question the political and systematic racism that treats minorities, people of colour and immigrants as the 'dangerous others'."
The protest begins at 6pm.