“房屋连地基”可以翻译为 "house with its foundation" 或 "house including the foundation"。
"house with its foundation" 直接表达了房屋与其地基的关联，强调两者作为一个整体。
"house including the foundation" 则侧重于说明房屋的组成部分中包含了地基。
根据具体语境和表达需求，可以选择更合适的翻译。