核心问题
You can go whenever you like for all I care.
请问 for all I care 是什么意思？
词典解答
for all somebody cares 字面意思是“很在乎”“很关心”，但实际意思却恰好相反“不在乎”“不关心”“没有关系”。for all he cares = but he doesn't care。EED 的释义是：“You use for all in phrases such as ‘for all he cares’，to emphasize that something does not really matter.”所以你问的句子可以译为：
你愿意什么时候走，就什么时候走，我才不管呢。
类例：
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For all I care, you can throw it away. 你可以把它扔掉，我才不管呢。
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He can wait for ever, for all I care. 他可以永远等下去，谁管他呢。
(参见 for all I care)