"进行旅馆式办公" can be translated into English as "operate in a hotel-style office setup" or "conduct hotel-style office operations".
Here, "hotel-style" is used to convey the idea of a flexible, short-term, or transient office arrangement, similar to how a hotel offers temporary accommodation. "Office setup" or "office operations" refers to the way the office is organized or functions.
Alternatively, depending on the context, you might also say "utilize a hotel-like office model" or "adopt a hotel-style approach to office work".