I know of no way to use just Google to issue a voice command to trigger Push2Run.
This is really too bad, because when Push2Run was first released IFTTT offered a free account with less restrictions and Google provided for variable text which offered much more functionality.
However, if you have an iPhone / iPad you can use Siri and Push2Run without the need for IFTTT.
There are three ways to do this, the setup for each is described at each of the following three links:
https://www.push2run.com/help/setup_Apple_Dropbox.html
https://www.push2run.com/help/setup_App ... ullet.html
https://www.push2run.com/help/setup_Apple_Pushover.html
Alternatively, if you don't have an iPhone, you can use your Android phone, Alexa, and the following skill (not needing IFTTT):
viewtopic.php?t=1116
Also, I notice Home Assistant is putting a strong focus on voice to text this year, so there may be something to come out of that without the need for IFTTT, but right now for it to work with Google it seems to require a Home Assistant cloud subscription. As Home Assistant supports MQTTT, as does Push2Run - there may be away to use Home Assistant, MQTT and Push2Run together without IFTTT - although I haven't tested that as I don't have a Home Assistant cloud subscription myself.
If anyone reading this post has more information about Home Assistant / Home Assistant cloud in this regards I would appreciate you chiming in.
In any case, from my end I am keeping Push2Run free with no plans to make it into a subscription service - which I hope will help.