Yes. According to Kalki Purana, Parasurama will teach Vedas to Lord Kalki who is upcoming Avatar of Lord Vishnu during transition times of Kali Yuga and Satya Yuga.
suta uvdca tato vastum gurukule yantam kalkim ninksya sah mahendradn
sthito ramah samaniya asramam prabhuh
Suta Gosvami said: Thereafter, Lord Kalki went to live at the
gurukula. Upon seeing Him approach, the greatly powerful Parasuiama,
who lives at Mount Mahendra, took Him to His asrama.
praha warn pdthayisyami gurum mam viddhi dharmatah bhrguvamsa
samutpannam jamadagnyam mahdprabhum
Lord Parasurama said: My dear child, I will act as Your teacher and so
You may treat me as Your acarya. I am the son of the greatly powerful
sage, Jamadagm, and thus I belong to the Bhrgu dynasty.
veda vedanga tattavajnam dhanurveda visdradam krtva mhksatnyam prthx
im dattva viprdya daksindm mahendradrau tapastaptum agato'ham
dvydtmaja warn pathatra пцат vedam yaccanyacchastram uttamam
I am well-versed in the four Vedas, the literature dealing with
grammar, and the six branches of the Vedas. I am very expert in the
art of shooting arrows. Previously, I made the entire earth devoid of
ksatrnas and then gave the southern portion of the country to the
brdhmanas Thereafter, I went to Mount Mahendra to perform austerities
О son of a brahmana, you may stay here and study whatever scriptures
itt tadvaca trprasrutya samprahrsta tanuruhah kalkih puro namaskrtya
Suta GosvamI said: Upon hearing these words of Parasurama, Kalki
became very pleased and immediately offered His respectful obesiances
to Him Thereafter, He began to study the Vedas under the direction of
his spiritual master.
Apart from this, Lord Parsurama will teach Rukmini Vrata to Ramaa Devi. Kalki will have two wives Padmavati and Ramaa.
Also, Parasurama is destined to become Saptarshi for next Manvantara i.e, Saavarni Manvantara., which is discussed in chapter 9 of Matsya purana. Savarani Manvantara comes after Vaivasvara Manvantara which is current Manvantara.
O Royal sage, I am now describing Sävarni Manvantara. In this
particular Manvantara, Asvatthämä, garadvän, Kausika, Gälava,
Satänanda, Kasyapa and Räma (Parasuräma) are the seven Rsis. Sävarni
Manu shall have ten sons viz. Dhrti, Variyän, Yavas, Suvarna, Vrsti,
Carisnu, Idya, Sumati, Vasu and valorous Sukra. These will be his ten
sons. Similar description has been provided for Raucya and other
future Manvantaras. At that point of time, Raucya the son of Ruci,
would be known as Manu. Similarly, Bhautya, the son of Bhüti shall be
known as Manu. Thereafter, Meru-sävanrni, the son of Brahmä shall be
known as Manu. Besides them Rta, Rtadhämä and Visvaksena will also be
known as Manus.