根据《剑桥高阶英汉双解词典》(第3版),be up for 中的 up 为 adverb(副词)。该词典的相关用法和例句原文引用如下:
adverb
INTENDED 打算的
up for sth intended, suggested or being considered for something(计划要;被建议;正被考虑)
That house at the end of our road is up for sale again. 我们这条路尽头的那座房子又要出售了。
Are you really up for promotion? 你真的会被提升吗?