  One of most important applications of microlensing observations is detecting
free-floating planets(FFPs). The time scale of microlensing due to FFPs
($t_{\rm E}$) is short (a few days). Discerning the annual parallax effect in
observations from these short-duration events by one observer is barely
possible, though their parallax amplitude is larger than that in common events.
In microlensing events due to FFPs, the lens-source relative trajectory alters
because of the observer's motion by $\boldsymbol{\delta u}$. This deviation is
a straight line if $t_{\rm E} \ll P_{\oplus}$, and its size is $\delta u\propto
\pi_{\rm{rel}}$ ($P_{\oplus}$ is the observer's orbital period). So, most of
observed microlensing events due to close FFPs have simple Paczy\'nsky
lightcurves with indiscernible and valuable parallax. To evaluate destructive
effects of invisible parallax in such events, we simulate $\sim9650$
microlensing events due to FFPs with $t_{\rm E}<10$ days that are observed only
by The Nancy Grace Roman Space Telescope(\wfirst). We conclude that in half of
these microlensing events the missing parallax alters the real lightcurves,
changing their shape and derived properties(by $\Delta \chi^{2}\gtrsim100$). By
fitting Paczy\'nski lightcurves to these affected events we evaluate the
relative and dimensionless deviations in the lensing parameters from their real
values ($\delta t_{\rm E}, \delta \rho_{\star}, ...$). We conclude that around
$46$ FFPs which are discovered by \wfirst\ have lightcurves highly affected by
invisible parallax with $\delta t_{\rm E}>0.1~\rm{and}~\delta
\rho_{\star}>0.1$. Our study reveals the importance of simultaneous and dense
observations of microlensing events viewed by \wfirst\ by other observers
rotating the Sun in different orbits.
