Yes, many countries and regions referred to as "immigration paradises" offer pathways to citizenship (naturalization) under specific conditions. Below are notable examples based on their immigration policies and requirements:

1. Panama
Path to Citizenship: After holding permanent residency (PR) for 5 years, investors under the Real Estate Investment Program (minimum $300,000 investment) can apply for citizenship.
Benefits: Panama passport allows visa-free access to ~140 countries, tax exemptions on global income, and dual citizenship .
2. Antigua and Barbuda
Direct Citizenship by Investment:
Donation: Contribute $100,000+ to the National Development Fund.
Real Estate: Invest $400,000+ in government-approved properties (held for 5 years).
No Residency Requirement: Citizenship granted in 3–6 months, with visa-free access to 165+ countries .
3. Andorra
Residency-Based Citizenship:
Standard Path: 20 years of continuous residency.
Accelerated Path: Invest €400,000+ in sectors like technology or tourism, reducing residency requirements to 10 years.
Tax Benefits: No capital gains, inheritance, or wealth taxes .
4. Hong Kong (China)

Permanent Residency First: Obtain Hong Kong PR after 7 years of continuous residence through programs like:
Quality Migrant Admission Scheme (优才计划): For professionals and talents.
Top Talent Pass Scheme (高才通计划): For high-income individuals or graduates from top universities.
Citizenship: PR holders can apply for a Hong Kong passport (visa-free to 168 countries) while retaining Chinese nationality .
5. United States
Green Card to Citizenship:
General Path: 5 years of permanent residency (3 years if married to a U.S. citizen).
Requirements: Pass citizenship tests, demonstrate good moral character, and meet physical presence criteria.
Benefits: U.S. passport provides visa-free access to 185+ countries .
Key Notes:
Tax Havens: Countries like Panama and Antigua and Barbuda prioritize tax exemptions and asset protection for citizens.
Dual Citizenship: Most "immigration paradises" allow dual citizenship (e.g., Panama, Antigua and Barbuda), but Hong Kong does not permit dual nationality with China.
Residency vs. Citizenship: Some programs (e.g., Andorra) require long-term residency before citizenship, while others (e.g., Antigua and Barbuda) offer immediate citizenship through investment.
For detailed application procedures, consult official immigration channels or legal advisors.