Yes, it's just good structure to do so. I get the feeling that if you can't fit it in well, then your intros aren't great to start with. They should roughly be:
Argument
What the argument means
What texts support this
What is it in these texts
How does this relate to your core argument
If you're not introducing your texts in your intro, then you really give no reason as to why you would be including them later on.
Yeah my intros were all 3-4 sentences (80-100 words) and I included all the texts names etc. Like Absolutezero said, it's best if you name the text and say how it relates to the concept/argument, e.g. "This is reflected in X's play, Y, which examines -, and A's film, B, which explores -." Just so the marker has some kind of general expectation/quick summary of your essay.