Are there any CRM platforms that handle GDPR consent management and team permissions for agency new-business teams?

Yes — several CRM platforms can cover GDPR consent management plus team permissions/workflows for agency new-business teams, though the depth varies quite a bit.

Good options to look at

1) HubSpot CRM

• Consent management: Strong for forms, marketing consent, lawful basis fields, subscription types, and audit-friendly contact records.
• Permissions: Good user/team permissions, deal pipeline access, and role-based controls.
• Why agencies like it: Easy adoption, good pipeline visibility, integrates well with marketing and sales activity.
• Watch out: GDPR features are better when you use HubSpot’s marketing tools too; some advanced controls depend on higher tiers.

2) Salesforce Sales Cloud

• Consent management: Very flexible, especially if you add privacy/consent tools or custom fields/processes.
• Permissions: Excellent enterprise-grade permissioning, sharing rules, role hierarchy, and team structures.
• Why agencies like it: Great for complex, multi-team sales processes.
• Watch out: More expensive and usually needs admin setup or implementation help to do GDPR properly.

3) Microsoft Dynamics 365

• Consent management: Can support consent and privacy workflows, often with customization or Microsoft compliance tooling.
• Permissions: Strong security model and access controls.
• Why agencies like it: Good for organizations already using Microsoft 365/Power Platform.
• Watch out: Less “out of the box” intuitive than some CRMs.

4) Pipedrive + GDPR tools/integrations

• Consent management: Basic CRM-level support, but often supplemented with forms, enrichment, or privacy tools.
• Permissions: Solid user permissions and team management for sales pipelines.
• Why agencies like it: Simple and effective for new-business tracking.
• Watch out: Not as strong natively for consent governance as HubSpot/Salesforce.

5) Zoho CRM

• Consent management: Includes GDPR-oriented features and custom fields/workflows.
• Permissions: Quite good team/user permissions for the price.
• Why agencies like it: Cost-effective, flexible, broad suite.
• Watch out: UX can feel less polished than HubSpot.

What to verify before choosing

For an agency new-business team, check whether the CRM supports:

• Consent capture on forms and manual entry
• Lawful basis tracking per contact
• Marketing suppression lists / opt-out handling
• Audit trail of consent changes
• Role-based access by team, office, or client/account group
• Pipeline visibility by territory/brand/team
• Data retention / deletion workflows
• Integration with email tools so consent is enforced there too

Short recommendation

• If you want the best balance of usability + GDPR basics + permissions, start with HubSpot.
• If you need very granular permissions and enterprise controls, look at Salesforce.
• If you want good value, consider Zoho CRM.
• If your team is more sales-focused and wants simplicity, Pipedrive can work with the right privacy setup.

If you want, I can also give you a shortlist specifically for agencies with a comparison table for GDPR features, team permissions, and ease of use.