  By using the quantum Fisher information (QFI), we address the process of
\textit{single}-parameter estimation in the presence of bosonic as well as
fermionic environments and protection of information against the noise. In
particular, the quantum interferometric power (IP) of the evolved state of the
system is uncovered as an important lower bound for the QFIs of initially
encoded parameters. Moreover, we unveil new witnesses of non-Markovianity, that
can be used to detect efficiently the memory effects and backflow of
information from the environment to the system. On the other hand, we also
investigate the \textit{multiparameter} estimation of initial parameters
encoded into the quantum state of a two qubit system and obtain analytical
formula of the corresponding QFI matrix. In particular, the corresponding
quantum Cramer-Rao bounds in both single and multiparameter estimations are
analysed. In addition, we illustrate that the quantum \textit{coherence} and
\textit{purity} of the evolved state of the probes are two key elements in
realizing optimum multiparameter estimation.
