My Japanese is not so good, especially Kanji, but I believe what you want to say is "Please understand" or "Please acknowledge me".
29 เมษายน 2016
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Hikaru it depends on the situation. I think the closest meaning would be "I hope you understand."
At a produce market:
"We are sorry to announce that we are out of peaches until next year. We hope you understand."
25 พฤษภาคม 2016
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英語ですいませんがご了承下さいはSorry but please understand意味します。私の日本語は良くないです。