No. The European Parliament members from Britain will not cast their vote on the said deal, because as with a surprisingly large number of things affecting Europe, it's not actually decided by the European ParlimentParliament.
The post-Brexit trade deal is likely to be the most complex part of the negotiation because it needs the unanimous approval of more than 30 national and regional parliaments across Europe, some of whom may want to hold referendums.
The quote above is from a BBC Article earlier this year. Ultimately the national governments control the membership of the European Union and it will be the National Governments, not the European Parliament that eventually agree or reject the terms of Brexit.
While the supplied quote talks about trade deals, you'll notice that all the news articles about brexitBrexit negotiations refer to Theresa May, Angela Merkel, Emmanuel Macron and so on. None of whom are MEPs.