As the fusion of the real world and the digital space, the metaverse is constructing a new interaction paradigm and economic system. Non-Fungible tokens (NFTs) have become a key technology to solving the digital asset ownership problem by their uniqueness and indivisibility. There are three core flaws in existing NFT verification schemes regarding privacy protection. First is the risk of identity exposure. Second, compatibility is insufficient. Traditional protocols rely on the homogenization property of currency, which is difficult to adapt to the indivisibility of NFT. Third, there is a trade-off between verification efficiency and privacy. These problems require new schemes to achieve anonymity, data confidentiality and resource consumption optimization while ensuring ownership verifiability. To solve these challenges, we propose a privacy-preserving NFT scheme based on dynamic commitment and fragmentation architecture (NFTCP). Its innovation is reflected in three aspects: sharded Merkle tree architecture, a two-level cryptographic commitment mechanism, and a lightweight zero-knowledge proof circuit to verify commitments. Experiments show that the NFTCP is significantly better than the traditional NFT scheme regarding anonymity and confidentiality. Although the processing time of NFTCP is higher than that of ERC-721, its effective transaction ratio is increased by 106 percent than that of ERC-721 and 4.5 percent than that of other schemes, this cost is verified to be a reasonable compromise for privacy protection.