Final answer:
To handle the situation, the technician should acknowledge the colleague's request, inform the customer about the brief hold, and address the colleague's concern before returning to assist the customer.
Step-by-step explanation:
When a colleague indicates that there is something to discuss while a call center technician is on a call with a customer, the technician should acknowledge the colleague's request and politely inform the customer that they will be placing them on a brief hold. The technician can say something like, 'I apologize for the interruption, but my colleague needs to discuss something important. Please hold for a moment, I'll be right back with you.' Then, the technician can transfer the call to a colleague or put the customer on hold and address the colleague's concern. Once the conversation with the colleague is finished, the technician can return to the call with the customer and continue providing assistance.