We would not usually use the verb "play" with the noun "English". Do you mean "practice" (AmE: practise)?
Also, "shall we..." is very formal. If you're using italki, you could write,
"What do you think about practicing English together?"
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Yes.
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yes to turn your phrase into interrogative. You say Shall we play English?.
the other people except Jimmy have misunderstood and misread your question. They presumed incorrectly. And started a debate about whether you can Play English.
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Do you mean, "Can we practice English together?"
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In U.S. English, you would not say "Shall we play." You could say:
Do you want to ...?
Who wants to ...?
These can be used when talking to an individual or a group.