As for rinzai monasteries there is not even one which will give chance to study and practice using English. In Hokoji was roshi who spoke some English, but I am not sure if they accept any foreigners now. If roshi is still alive must be something like 100 years old.
Same for Eiheiji and Sojiji. Both temples may have some English guide for people who come for zuise ceremony, but it s only one night and day stay. And zuise is only for those who received dharma transmission.
Actually it is almost impossible to study in all those monasteries in English since there is always a lot of classic Chinese and Japanese. And those teachings have their own subtleties. Nobody could put it in English, and rinzai monasteries were never interested in it.
Among soto monasteries there was Hosshinji which offered training in English, but I am not sure if it is still possible. Most of English translators left according to what I have heard and this monastery has very few monks now. And probably only Japanese. Good situation there was like 20 or 30 years ago.
Generally I think that people who have wish to study and practice in Japan, should rather take some effort and learn Japanese. Chinese, written Chinese and reading in Chinese will be eventually obligatory in the course of study and sodo work.
Now soto headquarters offer annual training for foreign priests in English.. there is special ango for 3 months each year, where translators are available. Those angos are in some old, historical temples. But then it is different then practice in Japanese sodo, or training monastery. Rinzai does not offer yet such privilege.
I think that 80-ties it was the best time in Japan to study zen for foreigners... at the moment many places changed, and possibilities are gone. One temple in Okayama offers training with English translator available, but surrounding is a bit different since it is like a temple for Westerners. So I heard it is more like a zen center in the West. With particular atmosphere, quite different then in Japanese monastery. But to now for sure one has to go and check for oneself.
Once there was Ryutakuji, in Mishima - rinzai, with English speaking roshis, but those died already. The person who is in charge now, I do not know if he speaks any English.
BTW again I will say.. learn Japanese. When it was time for Japanese to go to China, and many did, all of them learned Chinese. They were not waiting for Chinese masters to learn Japanese. Why should Japanese be so kind and learn English???