The part of a sentence "criticisms arise" is correct and usable in written English.
You can use it when you want to refer to a situation in which criticisms have been voiced or expressed. For example: "When a policy is announced, criticisms arise from all sides."
The more it gained popularity, the more criticisms arose, including that from a French politician, Marie-Ségolène Royal, who condemned anime's bad influence on French society, using the cause for her political campaign.
I don't think criticisms arising from those more modern perspectives are invalid — indeed, by the time of Licklider's writings, US international development organizations had come onto the scene, Peace Corps and Fulbright were 'things,' and global economic disparities were acknowledged.
In it, Waters defended those who were critical of President Trump, saying that that criticism arose from a love of country.
Much criticism arose at the time about the designs.
In New York, however, the main criticism arose from ill-founded fears about accidents involving nuclear warheads.
In Britain the judiciary has been subject to heavy and sometimes personalised criticism arising from miscarriage of justice cases.
The industry has been struggling since the recession hit and criticism arose over corporate executives' use of private jets.
This criticism arises on account of the position of the words 'Dr.' and 'Cr.' with regard to the statement of the account between the two people.
Most of the specific criticism arises from his representation of Peabody Energy, a coal company, in its effort to squash the Environmental Protection Agency's regulation of carbon emissions.
Perhaps the most pervasive criticism arising from the CFPB's initiative to rein in debt collection is the frequency and content of debt collector communications with consumers.
After the first Japanese Civil Code had been adopted in 1890, with very little debate, a storm of criticism arose from the legal community.
