May one who is traveling to the Diaspora for Sukkos take with him an Israeli Esrog of Otzer Beis Din [after Shemita]?
It is permitted to take one’s personal Esrog with him to the Diaspora. One must make sure after Sukkos that the Esrog is properly guarded as Kedushas Sheviis. Some Poskim write that one is to try to take the Esrog with him when he returns to Eretz Yisrael. Others rule this is not necessary.
May one import Israeli Esrogim of Kedushas Sheviis to the Diaspora for Sukkos?
Some Poskim rule it is permitted to do so even initially, on condition that the Esrogim are sold Behavlaah. Other Poskim rule it is initially forbidden to do so. Some Poskim rule it is permitted to do so in a situation that the city will not have any Esrogim available if they are not sent. According to all, even if an Esrog was taken out of Eretz Yisrael in a forbidden manner, it remains Kosher and can be used for the Mitzvah.
 See Piskeiy Teshuvos 649/7; Beis Yitzchak Y.D. 2/121; Beis Ridbaz 5/18
 Mishnas Yosef 2/24-28; Tzitz Hakodesh 1/15; Piskeiy Teshuvos ibid; See Beis Ridbaz ibid
 See Beis Ribaz ibid as Esrogim don’t require Biur.
 See Mishnas Yosef 2/24-28
 Beis Ridbaz 5/18; Igros Moshe 1/186
 Chelkas Yaakov Y.D. 185; Chazon Ish Sheviis 10/6; 13/4; See Beis Yitchak ibid
 Chazon Ish
 Chazon Ish ibid; Igros Moshe ibid