Incorrect translation

Olya, 

There may be regional differences but saying ‘ I feel like “ a something “ ‘   - an ice cream, a drink, a ride, a run ‘ etc -  is common, colloquial English in at least some parts of the English-speaking world in this context. 

In this informal construct there is no need to say eating, having, drinking, getting, taking … 

As the original expression is in French, and is also a common French expression in this context, the most direct English translation is as given.  There is no ‘ chercher, prendre, manger … ‘ specified originally.