This short post states that there is no uniform custom for whether the songs "Shalom Aleichem" and "Eshet Chayil" should be sung standing or sitting on Friday night. This response was written by Rabbi Yoel Lieberman, an Orthodox rabbi with an expertise in Jewish law, as part of Yeshiva.co‘s “Ask the Rabbi” column.
Question:
What is the custom regarding sitting or standing for Shalom Aleichem and Eshet Chail sung Erev Shabbat?
Answer:
The common Halachik commentators do not speak of a uniform custom for standing or sitting for Shalom Aleichem or Eshet Chayil. Therefore the custom adopted should be the one passed down to you by your family.