When it comes to Procurement management, which supplier is good either domestic ( or ) International?

It's a very (oh very) general topic. What is the lead time? Are you talking about a private or public sector organization? This organization is active only locally or also abroad? The goods are available (quality and quantity wise) in the local market or not? What is the currency-ies we are talking about? Your stuff are in place to deal with international markets? What is the marketing plan of the organization? What kind of industry are we talking about? 

These are a few questions coming to any procurement's professional mind, in such a topic. Local or international sourcing / biding etc. is mostly a strategic decision and not a random one.

When it comes to international tender where both domestic and International bidders are allowed to participate, all are equally and fairly treated as per general and special conditions of contract and eligibility of bidders.  So, it may not be appropriate to draw a conclusion on good or bad as that will comprise the fairness and transparency of procurement process.  

There cannot be any specific and fix answer to this. The choice of source of procurement depends and varies on may factors such as: 

Availability in terms of quality and Quantity

After Sales/ Back up support

Genuineness of the Product

Delivery TIme

Process Complications and Expenses in import  viz a viz local procurement

As above it depends on a number of factors. In general I would say very large international businesses often need to buy from other large international businesses who understand their requirements.