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We have measured the temperature dependent resistivity of (TMTTF)$_2$PF$_6$to 7 GPa using a turnbuckle DAC (diamond anvil cell) and in magnetic field upto 5 T. Unlike many other organic conductors, a zero resistance was observed inthe superconducting state even under high pressures. Superconductivity wasobserved over a range of $P$ = 4.18 GPa to 6.03 GPa and showed a peak $T_c$ of2.25 K at 4.58 GPa. The temperature dependence of the upper critical magneticfield $H_{c2}(T)$ was determined via resistivity at $P$ = 4.58 GPa, for theintrachain ($a$), interchain ($b'$), and interlayer ($c^*$) configurations andthe $H_{c2}(T)$ displays positive curvature without saturation, which may beoriginated by a FFLO state, for magnetic field along a-axis and $b'$-axis in T$\ge$ 0.5 K for $P$ = 4.48 GPa. This feature is suppressed with increasingpressure and the orbital pair breaking mechanism becomes dominant. The valuesof the Ginzberg-Landau coherence length for three different axes obtained fromthis work shows that (TMTTF)$_2$PF$_6$ is an anisotropic three - dimensionalsuperconductor.

Anisotropy of upper critical field in one-dimensional organic system, (TMTTF)$_2$PF$_6$ under extremely high pressure