"Happy New Year in advance" 用英语说就是 "Advance Happy New Year"。
"Advance" 是 "提前" 的意思，"Happy New Year" 是 "新年快乐" 的意思，把它们结合起来就是 "提前祝福新年快乐"。
例句:
"I would pke to wish you an advance Happy New Year." (我想提前祝你新年快乐)
"Just wanted to give you an advance Happy New Year." (只是想提前祝你新年快乐)
"Sending you warm wishes for an advance Happy New Year." (给你送上温馨的祝福，提前祝你新年快乐)