My grandmother requires nursing care which Japanese call Level 1, but she can't be placed in a specialized nursing home for the elderly unless the city approves her for level 3 care.
この場合、次のような言い方ができますよ。
ーMy grandmother requires nursing care which Japanese call Level 1, but she can't be placed in a specialized nursing home for the elderly unless the city approves her for level 3 care.
「祖母は日本で言うレベル1の介護が必要ですが、市にレベル3の認定をしてもらえないと特別老人ホームに入ることができません」
nursing care「介護」
specialized nursing home for the elderly「特別養護老人ホーム」
to approve「認定する」
ご参考まで!