“你的邮件我已经看到”“如有任何进展我会及时通知你” 请帮忙翻译成英文?

可以用被动语态“Your post has been received.”
也可以用主动语态“I have received your mail.”
“I'll tell/inform you(let you know) immediately if it works/moves.”口语化
有进展还可以短语表示：
make headway
make progress
get along
get around
(最好根据语境翻译)