Harnessing the power of Google Cloud Platform (GCP) to its maximum potential requires a confluence of technical expertise, strategic vision, and project management prowess. Such a comprehensive skill set is often found in a Google Cloud Consultant - an individual or a team dedicated to guiding enterprises through the labyrinthine process of cloud migration and subsequent management. In this sphere, you need a technocrat proficient in things like Google Cloud's machine learning tools or Google's in-memory data store, capable of integrating these complex technologies into your unique business framework.

In this discussion, we will delve into the intricate process of selecting a Google Cloud Consultant who can seamlessly dovetail with your organizational needs.

Understanding the Need

Firstly, it is crucial to comprehend the depth and breadth of your enterprise's requirements. The purpose of this is twofold; it allows you to delineate the scope of the consultant's tasks and establishes a benchmark against which their performance can be measured.

You might be looking for a consultant to manage a one-off project, such as migrating your existing infrastructure to the cloud, or you may require a long-term partnership to enrich your IT department with cloud expertise. The nature of your need will significantly influence the selection criteria.

Understanding the Role

A Google Cloud Consultant can be seen as a polymath, donning several hats depending on the needs of the project or organization. They can play the role of an architect, designing complex cloud infrastructures; they may act as project managers, overseeing the cloud migration process, or they might even serve as trainers, empowering your in-house team with cloud competencies.

Moreover, they are well-versed in GCP's product suite – from App Engine, a platform for building scalable web applications, to BigQuery, a fully-managed enterprise data warehouse for large-scale data analytics.

Selecting the Right Consultant

• Credentials and Experience: Google Cloud's Partner Advantage Program offers various specializations that a consultant or consulting firm can earn. These badges of honor, which include Infrastructure, Data Analytics, and Machine Learning, amongst others, can provide some assurance about the consultant's competence in the respective areas.
• In addition to these credentials, the consultant's practical experience should be considered. A seasoned consultant, battle-hardened in the trenches of cloud migration projects, could bring invaluable insights and foresight to your project.
• Alignment with Business Objectives: Your business objectives should play a pivotal role in the selection process. If your goal is to leverage machine learning capabilities to optimize your operations, you need a consultant with a demonstrated expertise in GCP's AI and Machine Learning services.
• Training and Support: A cloud migration is not a one-and-done task; it’s a journey. Post-migration support is crucial. The chosen consultant should be able to provide training to your in-house team to manage the new infrastructure and offer technical support for a certain period post-migration.
• Cost: Finally, the cost of the consulting service is an essential consideration. While it is critical to ensure the consultant's fees align with your budget, remember that successful cloud migration can lead to significant long-term cost savings.

Once you've selected the right consultant, you must establish a clear communication channel, set up milestones, and develop a robust feedback mechanism. Remember, your Google Cloud Consultant is your partner in this journey towards achieving technological agility and efficiency. Therefore, like any partnership, openness, trust, and mutual respect should be at its core.

In the grand scheme of things, the right consultant is a catalyst, accelerating your organization's cloud journey, mitigating risks, and ensuring that your investment in GCP translates into tangible business benefits. It is this potential for transformation that makes the process of selecting a Google Cloud Consultant an exercise of utmost strategic importance.