Perl knows nothing about browsers. And browsers know nothing about Perl.

Browsers simply interpret the HTML and/or Javascript that your Perl program creates. If the HTML or Javascript doesn't work in every browser then you will have a problem.

The solution is to look at your HTML and Javascript and work out how to achieve the effects you want in a cross-browser manner (sticking to W3C standards would be a good start). You then write a Perl program that creates that HTML and Javascript.