不怎么明白你的意思
On the village green,where you【 pick up 】sides and no feeling of local patriotism 【is】
地点状语 定语从句 并列
involved,it is possible to play simply for the fun and exercise
形式主语 真正主语
可以这样拆开理解 it is possible to play simply for the fun and exercise On the village green.
You can pick up sides on the village green.
And no feeling of local patriotism is involved on the village green.