If you have already mentioned the author/speaker's name in your sentence, you do not need to include it in the parenthetical citation

True.

Explanation:

Citation of sources in any academic writing is one way of making sure the research paper is authentic and also has credibility. This citation allows the readers to understand as well as refer (if needed) to the sources used by the researcher.

With regards to how an author's name is included in the in-text citation, there are two ways to do that. One is when the author's name is included in the sentence itself where the 'quote' is included. Another way is when just the quote is given, then the author's name must be included in the parenthetical citation along with the page number.  

For instance,

According to "author's name", (page number)

or

(author's name, page number)

Thus, the given statement is true.