Art critics are typically staff of particular publications, such as a magazine or newspaper, but they can work independently or they can be academics and they can be published in a variety of sources. They judge creative works and situate the work in a cultural context.
Here are the places I recommend for art criticism:
Access restricted to current UT Austin students, faculty, and staff only. New users MUST register first for free access! See our Instructions for creating your NYT account.
This database asks you to click on Go to Resource - do not click on the title of the article. Open this image in a new tab if you want to enlarge.
Art historians are academics. The history part of their job title is important. Rather than judge a work, they situate the work in a historical context, taking into account how art and the economic, technological, religious, political (etc.) forces impact one another. Their work is published in journals. Here is where I would go for their research:
If you don’t see a .pdf of the article you want, click 
to find it in another database or in print in the Libraries.
If it is only in print in the Libraries or we don’t own the article, click 
to have the article emailed to you. This option will take a few days.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 Generic License.