Q. Do you italicize titles of news outlets?

Short answer: yes, probably.

Longer answer:

This answer will depend on which citation style you're using and/or where you're referring to it. The name of the news outlet could be used as a site name or a publisher, though if it's the same organization for both (e.g. The New York Times is published by... The New York Times), you'll skip including it as a publisher so that your citation doesn't have a lot of repetitive info in it.

Narrative Name-Drops

If you're mentioning* a news outlet in-sentence (narratively), publication names get italics, but corporate entities (as author or publisher) will not: A New York Times special report suggests that there's a shortage of italics. An AP news bulletin says otherwise, and the BBC is undecided but will announce a decision on BBC News later today. Our local news outlet KHOU declined to comment, according to a statement released on the KHOU 11 website. 

MLA

• Italicize container names but not publishers. (Article/page titles go inside quotation marks.)

Examples:

Kaplan, Matt. "Melting Ice Reveals Mummified Penguins in Antarctica." The New York Times, 30 Sept. 2020, www.nytimes.com/2020/09/30/science/penguins-mummies-antarctica.html.

Beaven, Brad. "The Modern Phenomenon of the Weekend." BBC News, 20 Jan. 2020, www.bbc.com/worklife/article/20200117-the-modern-phenomenon-of-the-weekend.

APA

• Italicize the names of new outlets that have conventional publication methods.
• For digital and broadcast media, unlike most conventions, in APA you italicize the page (article) title but leave the site name in plain text.

Examples:

Kaplan, M. (2020, September 30). Melting ice reveals mummified penguins in Antarctica. The New York Times. https://www.nytimes.com/2020/09/30/science/penguins-mummies-antarctica.html.

Beaven, B. (2020, January 20). The modern phenomenon of the weekend. BBC News. https://www.bbc.com/worklife/article/20200117-the-modern-phenomenon-of-the-weekend

Chicago

• Like APA but with even less italicization. Conventional news sources will be italicized, plain websites will not.

Examples (bibliography):

Kaplan, Matt. "Melting Ice Reveals Mummified Penguins in Antarctica." New York Times, September 30, 2020. https://www.nytimes.com/2020/09/30/science/penguins-mummies-antarctica.html.

Beavan, Brad. "The Modern Phenomenon of the Weekend." BBC News, January 20, 2020. https://www.bbc.com/worklife/article/20200117-the-modern-phenomenon-of-the-weekend.