Is learning Turkish popular among Arab people?
Arab world is a broad term. There are more than 15 Arabic countries. But if you would compare popularity of Turkish and other foreign languages you would see it's not significant.
Many Algerians know French in a good level.
In Bahrain English is widely taught as second language.
Egyptians are also good at English and what i understood from my observations they do like French.
In Iraq Turkmans speak in a very close language to modern Turkish and because of business interests you can find many locals from other ethnic groups knowing Turkish.
Turkey has accepted more than 2 mln. refugees from Syria and now many of them know Turkish to some degree.
In UAE learning Turkish isn't famous either. etc...
However because of Turkish tv. series there are many people knowing some words